72332988 has 48 divisors (see below), whose sum is σ = 207728640. Its totient is φ = 19076544.

The previous prime is 72332957. The next prime is 72332993. The reversal of 72332988 is 88923327.

It is a super-2 number, since 2×72332988² = 10464122306016288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32028 + ... + 34211.

It is an arithmetic number, because the mean of its divisors is an integer number (4327680).

Almost surely, 2^72332988 is an apocalyptic number.

72332988 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72332988 is an abundant number, since it is smaller than the sum of its proper divisors (135395652).

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

72332988 is a wasteful number, since it uses less digits than its factorization.

72332988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66266 (or 66264 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 72332988 is about 8504.8802460705. The cubic root of 72332988 is about 416.6571145188.

It can be divided in two parts, 7233298 and 8, that added together give a triangular number (7233306 = T₃₈₀₃).

The spelling of 72332988 in words is "seventy-two million, three hundred thirty-two thousand, nine hundred eighty-eight".