As a kid, I used to wonder why time was never "corrected" into an easy-to-calculate system. Our calendars have months of varying length and nonsensical names (SEPTember, OCTober, NOVember and DECember should be they 7th, 8th, 9th and 10th months, but that didn't stop someone from shoving new months behind them to honour emporers).
While 60, 60, 24, 7, 12, 365 don't make much sense (and might be improved on) the problem is that time and date are based on the planet's orbit and rotation, which makes days inconsistent. (I've never worked out how Planck time divides into earth's rotation or orbit, but I'm sure it's not assume lovely round number like 1x10^x). If we wanted the same number of "units" in every year (standardising on our solar orbit and killing of the leap year) then "1 O'Clock" would slowly drift throughout each day. We'd look back and say, "Oh, do your remember when we were kids and 1 o'clock was around mid-day?"
Other measurements like weight, length (and therefore speed, acceleration) are not bound to something variable like night and day, winter and summer.