diff --git a/src/core/annotation.js b/src/core/annotation.js
index 9f2719499..9b794afc5 100644
--- a/src/core/annotation.js
+++ b/src/core/annotation.js
@@ -27,6 +27,7 @@ import {
   getModificationDate,
   IDENTITY_MATRIX,
   info,
+  isArrayEqual,
   LINE_DESCENT_FACTOR,
   LINE_FACTOR,
   OPS,
@@ -723,6 +724,38 @@ class Annotation {
     return !!(flags & flag);
   }
 
+  _buildFlags(noView, noPrint) {
+    let { flags } = this;
+    if (noView === undefined) {
+      if (noPrint === undefined) {
+        return undefined;
+      }
+      if (noPrint) {
+        return flags & ~AnnotationFlag.PRINT;
+      }
+      return (flags & ~AnnotationFlag.HIDDEN) | AnnotationFlag.PRINT;
+    }
+
+    if (noView) {
+      flags |= AnnotationFlag.PRINT;
+      if (noPrint) {
+        // display === 1.
+        return (flags & ~AnnotationFlag.NOVIEW) | AnnotationFlag.HIDDEN;
+      }
+      // display === 3.
+      return (flags & ~AnnotationFlag.HIDDEN) | AnnotationFlag.NOVIEW;
+    }
+
+    flags &= ~(AnnotationFlag.HIDDEN | AnnotationFlag.NOVIEW);
+    if (noPrint) {
+      // display === 2.
+      return flags & ~AnnotationFlag.PRINT;
+    }
+
+    // display === 0.
+    return flags | AnnotationFlag.PRINT;
+  }
+
   /**
    * @private
    */
@@ -2073,10 +2106,15 @@ class WidgetAnnotation extends Annotation {
 
   async save(evaluator, task, annotationStorage) {
     const storageEntry = annotationStorage?.get(this.data.id);
+    const flags = this._buildFlags(storageEntry?.noView, storageEntry?.noPrint);
     let value = storageEntry?.value,
       rotation = storageEntry?.rotation;
     if (value === this.data.fieldValue || value === undefined) {
-      if (!this._hasValueFromXFA && rotation === undefined) {
+      if (
+        !this._hasValueFromXFA &&
+        rotation === undefined &&
+        flags === undefined
+      ) {
         return null;
       }
       value ||= this.data.fieldValue;
@@ -2088,8 +2126,8 @@ class WidgetAnnotation extends Annotation {
       !this._hasValueFromXFA &&
       Array.isArray(value) &&
       Array.isArray(this.data.fieldValue) &&
-      value.length === this.data.fieldValue.length &&
-      value.every((x, i) => x === this.data.fieldValue[i])
+      isArrayEqual(value, this.data.fieldValue) &&
+      flags === undefined
     ) {
       return null;
     }
@@ -2106,7 +2144,7 @@ class WidgetAnnotation extends Annotation {
         RenderingIntentFlag.SAVE,
         annotationStorage
       );
-      if (appearance === null) {
+      if (appearance === null && flags === undefined) {
         // Appearance didn't change.
         return null;
       }
@@ -2134,6 +2172,15 @@ class WidgetAnnotation extends Annotation {
         dict.set(key, originalDict.getRaw(key));
       }
     }
+    if (flags !== undefined) {
+      dict.set("F", flags);
+      if (appearance === null && !needAppearances) {
+        const ap = originalDict.getRaw("AP");
+        if (ap) {
+          dict.set("AP", ap);
+        }
+      }
+    }
 
     const xfa = {
       path: this.data.fieldName,
@@ -3019,10 +3066,11 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
       return null;
     }
     const storageEntry = annotationStorage.get(this.data.id);
+    const flags = this._buildFlags(storageEntry?.noView, storageEntry?.noPrint);
     let rotation = storageEntry?.rotation,
       value = storageEntry?.value;
 
-    if (rotation === undefined) {
+    if (rotation === undefined && flags === undefined) {
       if (value === undefined) {
         return null;
       }
@@ -3033,10 +3081,11 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
       }
     }
 
-    const dict = evaluator.xref.fetchIfRef(this.ref);
+    let dict = evaluator.xref.fetchIfRef(this.ref);
     if (!(dict instanceof Dict)) {
       return null;
     }
+    dict = dict.clone();
 
     if (rotation === undefined) {
       rotation = this.rotation;
@@ -3054,6 +3103,9 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
     dict.set("V", name);
     dict.set("AS", name);
     dict.set("M", `D:${getModificationDate()}`);
+    if (flags !== undefined) {
+      dict.set("F", flags);
+    }
 
     const maybeMK = this._getMKDict(rotation);
     if (maybeMK) {
@@ -3071,10 +3123,11 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
       return null;
     }
     const storageEntry = annotationStorage.get(this.data.id);
+    const flags = this._buildFlags(storageEntry?.noView, storageEntry?.noPrint);
     let rotation = storageEntry?.rotation,
       value = storageEntry?.value;
 
-    if (rotation === undefined) {
+    if (rotation === undefined && flags === undefined) {
       if (value === undefined) {
         return null;
       }
@@ -3085,10 +3138,11 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
       }
     }
 
-    const dict = evaluator.xref.fetchIfRef(this.ref);
+    let dict = evaluator.xref.fetchIfRef(this.ref);
     if (!(dict instanceof Dict)) {
       return null;
     }
+    dict = dict.clone();
 
     if (value === undefined) {
       value = this.data.fieldValue === this.data.buttonValue;
@@ -3121,6 +3175,9 @@ class ButtonWidgetAnnotation extends WidgetAnnotation {
 
     dict.set("AS", name);
     dict.set("M", `D:${getModificationDate()}`);
+    if (flags !== undefined) {
+      dict.set("F", flags);
+    }
 
     const maybeMK = this._getMKDict(rotation);
     if (maybeMK) {
diff --git a/src/core/document.js b/src/core/document.js
index 982033dcb..59f36f97f 100644
--- a/src/core/document.js
+++ b/src/core/document.js
@@ -378,9 +378,6 @@ class Page {
     return this._parsedAnnotations.then(function (annotations) {
       const newRefsPromises = [];
       for (const annotation of annotations) {
-        if (!annotation.mustBePrinted(annotationStorage)) {
-          continue;
-        }
         newRefsPromises.push(
           annotation
             .save(partialEvaluator, task, annotationStorage)
diff --git a/test/pdfs/.gitignore b/test/pdfs/.gitignore
index 187a90b76..cda431a14 100644
--- a/test/pdfs/.gitignore
+++ b/test/pdfs/.gitignore
@@ -671,3 +671,4 @@
 !bug1919513.pdf
 !issue16038.pdf
 !highlight_popup.pdf
+!issue18072.pdf
diff --git a/test/pdfs/issue18072.pdf b/test/pdfs/issue18072.pdf
new file mode 100644
index 000000000..0012ff3c5
Binary files /dev/null and b/test/pdfs/issue18072.pdf differ
diff --git a/test/test_manifest.json b/test/test_manifest.json
index b078193a4..fa1496654 100644
--- a/test/test_manifest.json
+++ b/test/test_manifest.json
@@ -10524,5 +10524,59 @@
     "md5": "47262993e04689c327b7ce85396bce99",
     "rounds": 1,
     "type": "eq"
+  },
+  {
+    "id": "issue18072-save-print",
+    "file": "pdfs/issue18072.pdf",
+    "md5": "231fe6f035da1f2ddf84f2a78ada20c5",
+    "rounds": 1,
+    "type": "eq",
+    "save": true,
+    "print": true,
+    "annotationStorage": {
+      "28R": {
+        "noView": true,
+        "noPrint": true
+      },
+      "29R": {
+        "noView": true,
+        "noPrint": false
+      },
+      "30R": {
+        "noView": false,
+        "noPrint": true
+      },
+      "31R": {
+        "noView": false,
+        "noPrint": false
+      }
+    }
+  },
+  {
+    "id": "issue18072-save-annotations",
+    "file": "pdfs/issue18072.pdf",
+    "md5": "231fe6f035da1f2ddf84f2a78ada20c5",
+    "rounds": 1,
+    "type": "eq",
+    "save": true,
+    "annotations": true,
+    "annotationStorage": {
+      "28R": {
+        "noView": true,
+        "noPrint": true
+      },
+      "29R": {
+        "noView": true,
+        "noPrint": false
+      },
+      "30R": {
+        "noView": false,
+        "noPrint": true
+      },
+      "31R": {
+        "noView": false,
+        "noPrint": false
+      }
+    }
   }
 ]