72905988 has 24 divisors (see below), whose sum is σ = 171162208. Its totient is φ = 24152256.

The previous prime is 72905981. The next prime is 72905993. The reversal of 72905988 is 88950927.

It is a happy number.

It is a super-2 number, since 2×72905988² = 10630566172512288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72905981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16681 + ... + 20592.

Almost surely, 2^72905988 is an apocalyptic number.

It is an amenable number.

72905988 is an abundant number, since it is smaller than the sum of its proper divisors (98256220).

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

72905988 is a wasteful number, since it uses less digits than its factorization.

72905988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37443 (or 37441 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 72905988 is about 8538.5003367102. The cubic root of 72905988 is about 417.7544325037.

The spelling of 72905988 in words is "seventy-two million, nine hundred five thousand, nine hundred eighty-eight".