welcome to the forum,
afiak, rclone does not offer .apk.
the link you reference is to download an executable that runs inside termux
$ wget https://beta.rclone.org/v1.72.0/testbuilds/rclone-android-21-armv8a.gz
--2025-11-21 13:48:10-- https://beta.rclone.org/v1.72.0/testbuilds/rclone-android-21-armv8a.gz
Resolving beta.rclone.org (beta.rclone.org)... 2a01:4f9:c012:7154::1, 95.217.6.16
Connecting to beta.rclone.org (beta.rclone.org)|2a01:4f9:c012:7154::1|:443... connected.
HTTP request sent, awaiting response... 200 OK
Length: 30936058 (30M) [application/gzip]
Saving to: ‘rclone-android-21-armv8a.gz’
rclone-android-21-armv8a.gz 100%[============================================================================>] 29.50M 4.19MB/s in 13s
2025-11-21 13:48:23 (2.33 MB/s) - ‘rclone-android-21-armv8a.gz’ saved [30936058/30936058]
gunzip rclone-android-21-armv8a.gz
chmod +x rclone-android-21-armv8a
./rclone-android-21-armv8a version
rclone v1.72.0
- os/version: unknown
- os/kernel: 6.1.134-android14-11-g66e758f7d0c0-ab13748739 (aarch64)
- os/type: android
- os/arch: arm64 (ARMv8 compatible)
- go/version: go1.25.4
- go/linking: dynamic
- go/tags: none
i run rclone on termux and i have a wiki about that.
https://forum.rclone.org/t/rclone-on-termux-turn-your-android-phone-into-a-media-server/16064