72914592 has 48 divisors (see below), whose sum is σ = 191866752. Its totient is φ = 24245760.

The previous prime is 72914579. The next prime is 72914599. The reversal of 72914592 is 29541927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72914592.

It is not an unprimeable number, because it can be changed into a prime (72914599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58617 + ... + 59847.

It is an arithmetic number, because the mean of its divisors is an integer number (3997224).

Almost surely, 2^72914592 is an apocalyptic number.

It is an amenable number.

72914592 is an abundant number, since it is smaller than the sum of its proper divisors (118952160).

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

72914592 is a wasteful number, since it uses less digits than its factorization.

72914592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 72914592 is about 8539.0041573945. The cubic root of 72914592 is about 417.7708656201.

The spelling of 72914592 in words is "seventy-two million, nine hundred fourteen thousand, five hundred ninety-two".