72892068 has 48 divisors (see below), whose sum is σ = 173638080. Its totient is φ = 23795200.

The previous prime is 72892063. The next prime is 72892087. The reversal of 72892068 is 86029827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72892063) 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, 139648 + ... + 140168.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 2^72892068 is an apocalyptic number.

It is an amenable number.

72892068 is an abundant number, since it is smaller than the sum of its proper divisors (100746012).

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

72892068 is a wasteful number, since it uses less digits than its factorization.

72892068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 72892068 is about 8537.6851663668. The cubic root of 72892068 is about 417.7278434128.

The spelling of 72892068 in words is "seventy-two million, eight hundred ninety-two thousand, sixty-eight".