72892128 has 24 divisors (see below), whose sum is σ = 191342088. Its totient is φ = 24297344.

The previous prime is 72892123. The next prime is 72892187. The reversal of 72892128 is 82129827.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72892123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 379551 + ... + 379742.

It is an arithmetic number, because the mean of its divisors is an integer number (7972587).

Almost surely, 2^72892128 is an apocalyptic number.

It is an amenable number.

72892128 is an abundant number, since it is smaller than the sum of its proper divisors (118449960).

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

72892128 is a wasteful number, since it uses less digits than its factorization.

72892128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759306 (or 759298 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 72892128 is about 8537.6886801991. The cubic root of 72892128 is about 417.7279580282.

The spelling of 72892128 in words is "seventy-two million, eight hundred ninety-two thousand, one hundred twenty-eight".