72331072 has 56 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 32578560.

The previous prime is 72331033. The next prime is 72331139. The reversal of 72331072 is 27013327.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 89004 + ... + 89812.

Almost surely, 2^72331072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

72331072 is an abundant number, since it is smaller than the sum of its proper divisors (85677248).

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

72331072 is a wasteful number, since it uses less digits than its factorization.

72331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 72331072 is about 8504.7676041148. The cubic root of 72331072 is about 416.6534355976.

Adding to 72331072 its reverse (27013327), we get a palindrome (99344399).

The spelling of 72331072 in words is "seventy-two million, three hundred thirty-one thousand, seventy-two".