72456592 has 40 divisors (see below), whose sum is σ = 152724600. Its totient is φ = 33100800.

The previous prime is 72456589. The next prime is 72456613. The reversal of 72456592 is 29565427.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 71166096 = 1136^2 + 8436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19284 + ... + 22732.

It is an arithmetic number, because the mean of its divisors is an integer number (3818115).

Almost surely, 2^72456592 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 72456592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76362300).

72456592 is an abundant number, since it is smaller than the sum of its proper divisors (80268008).

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

72456592 is a wasteful number, since it uses less digits than its factorization.

72456592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3565 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 72456592 is about 8512.1437957779. The cubic root of 72456592 is about 416.8943100235.

The spelling of 72456592 in words is "seventy-two million, four hundred fifty-six thousand, five hundred ninety-two".