72856524 has 48 divisors (see below), whose sum is σ = 184740192. Its totient is φ = 22213632.

The previous prime is 72856513. The next prime is 72856529. The reversal of 72856524 is 42565827.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72856529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15562 + ... + 19694.

It is an arithmetic number, because the mean of its divisors is an integer number (3848754).

Almost surely, 2^72856524 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 72856524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92370096).

72856524 is an abundant number, since it is smaller than the sum of its proper divisors (111883668).

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

72856524 is a wasteful number, since it uses less digits than its factorization.

72856524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4264 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 72856524 is about 8535.6033178680. The cubic root of 72856524 is about 417.6599341834.

The spelling of 72856524 in words is "seventy-two million, eight hundred fifty-six thousand, five hundred twenty-four".