37125972 has 96 divisors (see below), whose sum is σ = 107125760. Its totient is φ = 11041920.

The previous prime is 37125967. The next prime is 37126009. The reversal of 37125972 is 27952173.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43098 + ... + 43950.

Almost surely, 2^37125972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37125972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53562880).

37125972 is an abundant number, since it is smaller than the sum of its proper divisors (69999788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37125972 is a wasteful number, since it uses less digits than its factorization.

37125972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 37125972 is about 6093.1085662410. The cubic root of 37125972 is about 333.5999249521.

The spelling of 37125972 in words is "thirty-seven million, one hundred twenty-five thousand, nine hundred seventy-two".