Rhythm is intrinsic to humans, so having it in music is natural. We live with a regular heartbeat for most/all of our lives, so get used to regularity. Especially when there are words to a song, where they will, to a great degree, dictate the metric of that song, exactly like poetry, as opposed to prose (as I learned at school...).
It's interesting that nearly all time signatures will be broken down into basic twos and/or threes. 4/4 will usually have two emphasis points per bar, even 5/4 will be split into 2/3, or 3/2. March time will inevitably have a two metric - either 2/4 or 6/8, due to us possessing two legs.
Why 4/4 has become the 'common time' rather than 2/4 escapes me although probably that's where the 3rd beat of 4/4 gets its emphasis.