72558920 has 64 divisors (see below), whose sum is σ = 187315200. Its totient is φ = 24779520.

The previous prime is 72558919. The next prime is 72558943. The reversal of 72558920 is 2985527.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133850 + ... + 134390.

It is an arithmetic number, because the mean of its divisors is an integer number (2926800).

Almost surely, 2^72558920 is an apocalyptic number.

72558920 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 72558920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657600).

72558920 is an abundant number, since it is smaller than the sum of its proper divisors (114756280).

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

72558920 is a wasteful number, since it uses less digits than its factorization.

72558920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 72558920 is about 8518.1523818255. The cubic root of 72558920 is about 417.0904729634.

The spelling of 72558920 in words is "seventy-two million, five hundred fifty-eight thousand, nine hundred twenty".