One of the interesting things is why are there 24 hours in a day, 60 minutes per hour, etc? Mathematically, those values are useful because they can be factore

One of the interesting things is why are there 24 hours in a day, 60 minutes per hour, etc? Mathematically, those values are useful because they can be factored in many ways. But who picked them? I was at the British Museum one time, and they had an horological exhibit (clocks throughout the ages), so I asked one of the curators. He said it was the Babylonians that chose those values. But since this thread is about notation, I should be asking who picked the colon (:) as the time separator that is generally used. And are there other conventions for this?