I need to download it for Python 2.7, but can't seem to find it...
There is a a new option as well: get it via pip! There is a package pypiwin32 with wheels available, so you can just install with:
pip install pypiwin32!
Edit: Per comment from @movermeyer, the main project now publishes wheels at pywin32, and so can be installed with
pip install pywin32