72031568 has 60 divisors (see below), whose sum is σ = 164543040. Its totient is φ = 30453696.

The previous prime is 72031549. The next prime is 72031571. The reversal of 72031568 is 86513027.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61355 + ... + 62517.

It is an arithmetic number, because the mean of its divisors is an integer number (2742384).

Almost surely, 2^72031568 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 72031568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82271520).

72031568 is an abundant number, since it is smaller than the sum of its proper divisors (92511472).

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

72031568 is a wasteful number, since it uses less digits than its factorization.

72031568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72031568 is about 8487.1413326278. The cubic root of 72031568 is about 416.0775558065.

The spelling of 72031568 in words is "seventy-two million, thirty-one thousand, five hundred sixty-eight".