It looks like Anonymous role has access to a Homepage that contains attributes for which that role doesn't have read access. Check the Navigation object in your Project module and look for what homepage Anonymous might have access to. Make sure you check all of the tabs there (Hybrid Tablet App Online, Hybrid Phone App Online, etc.). You can delete profiles you don't want in your app.
Hope that helps,
Romil, I got curious about this, so read through some release notes. The snippet below from the 7.2 release notes *may* explain why this happened in your app. Maybe you have some navigation profiles that were disabled previously but in 7.2 and above, they are active?