Take the natural numbers. They were invented for counting things, right? One sheep, two sheep, three sheep, simple as.
Yet there’s an immense complexity and structure in natural numbers, starting with primes, and ending in algebraic- or analytic number theory!
Why is it that this thing we use for counting objects has such rich structure? Where does it come from? Why does it have to be this way?
It certainly feels something divine to me. It certainly feels as something that humans didn’t invent, rather was always “out there” to be discovered. Physical laws (which are mostly just OK approximations) feel much more arbitrary and down-to-Earth compared to mathematics.