Build 7600 means that it’s the final version of Windows 7, thus it should be compatible with anything supporting Windows 7 SP1.
The “Professional” edition aspect of your OS won’t affect compatibility as it just refers to extra software that was bundled with that release; so again, for compatibility purposes this is just Windows 7 SP1.
Microsoft .NET Framework 4.6.2 supports Windows 7 SP1 and has an offline installer.
The Microsoft .NET Framework 4.6.2 is a highly compatible, in-place
update to the Microsoft .NET Framework 4/4.5/4.5.1/4.5.2/4.6/4.6.1.
The offline package can be used in situations where the web installer
cannot be used due to lack of internet connectivity.
You can download the offline installer and review the installation instructions here:
https://www.microsoft.com/en-us/download/details.aspx?id=53344
