72662524 has 24 divisors (see below), whose sum is σ = 142471728. Its totient is φ = 32135040.

The previous prime is 72662519. The next prime is 72662533. The reversal of 72662524 is 42526627.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72662524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20689 + ... + 23944.

It is an arithmetic number, because the mean of its divisors is an integer number (5936322).

Almost surely, 2^72662524 is an apocalyptic number.

72662524 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72662524 is a deficient number, since it is larger than the sum of its proper divisors (69809204).

72662524 is a wasteful number, since it uses less digits than its factorization.

72662524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44685 (or 44683 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 72662524 is about 8524.2315782714. The cubic root of 72662524 is about 417.2888941942.

It can be divided in two parts, 72 and 662524, that added together give a square (662596 = 814²).

The spelling of 72662524 in words is "seventy-two million, six hundred sixty-two thousand, five hundred twenty-four".