72972090 has 40 divisors (see below), whose sum is σ = 196216020. Its totient is φ = 19459008.

The previous prime is 72972089. The next prime is 72972127. The reversal of 72972090 is 9027927.

It can be written as a sum of positive squares in 2 ways, for example, as 72948681 + 23409 = 8541^2 + 153^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44235 + ... + 45854.

Almost surely, 2^72972090 is an apocalyptic number.

72972090 is an abundant number, since it is smaller than the sum of its proper divisors (123243930).

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

72972090 is a wasteful number, since it uses less digits than its factorization.

72972090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90108 (or 90099 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72972090 is about 8542.3702799633. The cubic root of 72972090 is about 417.8806501286.

The spelling of 72972090 in words is "seventy-two million, nine hundred seventy-two thousand, ninety".