72964944 has 60 divisors (see below), whose sum is σ = 219913876. Its totient is φ = 22450176.

The previous prime is 72964933. The next prime is 72964949. The reversal of 72964944 is 44946927.

72964944 is a `hidden beast` number, since 72 + 96 + 494 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 65610000 = 2712^2 + 8100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72964944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72964949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17617 + ... + 21360.

Almost surely, 2^72964944 is an apocalyptic number.

It is an amenable number.

72964944 is an abundant number, since it is smaller than the sum of its proper divisors (146948932).

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

72964944 is a wasteful number, since it uses less digits than its factorization.

72964944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39004 (or 38995 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72964944 is about 8541.9520017382. The cubic root of 72964944 is about 417.8670089653.

The spelling of 72964944 in words is "seventy-two million, nine hundred sixty-four thousand, nine hundred forty-four".