72931392 has 84 divisors (see below), whose sum is σ = 213078060. Its totient is φ = 23841792.

The previous prime is 72931387. The next prime is 72931399. The reversal of 72931392 is 29313927.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 38638656 = 5856^2 + 6216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72931399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29334 + ... + 31722.

Almost surely, 2^72931392 is an apocalyptic number.

72931392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106539030).

72931392 is an abundant number, since it is smaller than the sum of its proper divisors (140146668).

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

72931392 is a wasteful number, since it uses less digits than its factorization.

72931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 72931392 is about 8539.9878220054. The cubic root of 72931392 is about 417.8029488716.

The spelling of 72931392 in words is "seventy-two million, nine hundred thirty-one thousand, three hundred ninety-two".