72150864 has 80 divisors (see below), whose sum is σ = 192696000. Its totient is φ = 23251968.

The previous prime is 72150853. The next prime is 72150877. The reversal of 72150864 is 46805127.

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 15 ways as a sum of consecutive naturals, for example, 206562 + ... + 206910.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^72150864 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 72150864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96348000).

72150864 is an abundant number, since it is smaller than the sum of its proper divisors (120545136).

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

72150864 is a wasteful number, since it uses less digits than its factorization.

72150864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72150864 is about 8494.1664688185. The cubic root of 72150864 is about 416.3071265011.

The spelling of 72150864 in words is "seventy-two million, one hundred fifty thousand, eight hundred sixty-four".