72392880 has 160 divisors (see below), whose sum is σ = 262983168. Its totient is φ = 16128000.

The previous prime is 72392863. The next prime is 72392893. The reversal of 72392880 is 8829327.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68355 + ... + 69405.

Almost surely, 2^72392880 is an apocalyptic number.

72392880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72392880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131491584).

72392880 is an abundant number, since it is smaller than the sum of its proper divisors (190590288).

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

72392880 is a wasteful number, since it uses less digits than its factorization.

72392880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 72392880 is about 8508.4005547459. The cubic root of 72392880 is about 416.7720807064.

The spelling of 72392880 in words is "seventy-two million, three hundred ninety-two thousand, eight hundred eighty".