Error Code 0x80073712 is common for all the Windows Operating systems when you try to install the updates. It usually appears when Windows 10 or Windows 7 update system is broken or there are network related glitches.
Usual causes for this Error Code 0x80073712 are communication failure over the internet with Microsoft update servers.
Troubleshooting Steps for Error Code 0x80073712 :
Disable the proxy internet connection and try again to install the update.