JASII asked for Android, not Apple, apps. But searching for "noaa radio android app" in Google:
TuneIn Radio: Find it through Google "Play" on your phone. Looking at the list of "Local Radio" stations, you should find "NOAA Weather" in ascending frequency order after the FM stations. In my case, on 162.475 MHz. Free and paid versions, later includes international stations. Scanner radio streams too. No CBS-owned stations; get "iHeartRadio" for those.
WunderRadio supports 4 platforms. Looking at the station list, it seems to be the same as TuneIn Radio. Google Play finds a different "Wunder Radio" for $7 and the ratings are so-so at best.
Longtime satisfied user of TuneIn Radio (first on Blackberry, now on Android) and iHeartRadio over the past 4-6 years. I've also used it on Amtrak Philadelphia<->Denver, throughout New England and the Delmarva area.
I have not tried WunderRadio. Undoubtedly there are more sources as well. HTH