72512700 has 72 divisors (see below), whose sum is σ = 225954288. Its totient is φ = 17848320.

The previous prime is 72512659. The next prime is 72512707. The reversal of 72512700 is 721527.

It is a super-2 number, since 2×72512700² = 10516183322580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5397 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3138254).

Almost surely, 2^72512700 is an apocalyptic number.

It is an amenable number.

72512700 is an abundant number, since it is smaller than the sum of its proper divisors (153441588).

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

72512700 is a wasteful number, since it uses less digits than its factorization.

72512700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18623 (or 18616 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72512700 is about 8515.4389199853. The cubic root of 72512700 is about 417.0018920030.

The spelling of 72512700 in words is "seventy-two million, five hundred twelve thousand, seven hundred".