72892524 has 24 divisors (see below), whose sum is σ = 170695728. Its totient is φ = 24209920.

The previous prime is 72892511. The next prime is 72892537. The reversal of 72892524 is 42529827.

It is an interprime number because it is at equal distance from previous prime (72892511) and next prime (72892537).

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, 7437 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (7112322).

Almost surely, 2^72892524 is an apocalyptic number.

It is an amenable number.

72892524 is an abundant number, since it is smaller than the sum of its proper divisors (97803204).

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

72892524 is a wasteful number, since it uses less digits than its factorization.

72892524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21903 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 72892524 is about 8537.7118714560. The cubic root of 72892524 is about 417.7287144884.

The spelling of 72892524 in words is "seventy-two million, eight hundred ninety-two thousand, five hundred twenty-four".