72072924 has 108 divisors (see below), whose sum is σ = 215239752. Its totient is φ = 18701760.

The previous prime is 72072919. The next prime is 72072937. The reversal of 72072924 is 42927027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70642 + ... + 71654.

Almost surely, 2^72072924 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 72072924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107619876).

72072924 is an abundant number, since it is smaller than the sum of its proper divisors (143166828).

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

72072924 is a wasteful number, since it uses less digits than its factorization.

72072924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72072924 is about 8489.5773746400. The cubic root of 72072924 is about 416.1571691011.

The spelling of 72072924 in words is "seventy-two million, seventy-two thousand, nine hundred twenty-four".