72335988 has 18 divisors (see below), whose sum is σ = 182849394. Its totient is φ = 24111984.

The previous prime is 72335981. The next prime is 72336001. The reversal of 72335988 is 88953327.

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 51984 = 8502^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×72335988² = 10464990319872288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72335981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1004631 + ... + 1004702.

Almost surely, 2^72335988 is an apocalyptic number.

It is an amenable number.

72335988 is an abundant number, since it is smaller than the sum of its proper divisors (110513406).

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

72335988 is a wasteful number, since it uses less digits than its factorization.

72335988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009343 (or 2009338 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72335988 is about 8505.0566135682. The cubic root of 72335988 is about 416.6628747033.

The spelling of 72335988 in words is "seventy-two million, three hundred thirty-five thousand, nine hundred eighty-eight".