72572920 has 96 divisors (see below), whose sum is σ = 193380480. Its totient is φ = 24433920.

The previous prime is 72572893. The next prime is 72572921. The reversal of 72572920 is 2927527.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72572921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119257 + ... + 119863.

It is an arithmetic number, because the mean of its divisors is an integer number (2014380).

Almost surely, 2^72572920 is an apocalyptic number.

72572920 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 72572920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96690240).

72572920 is an abundant number, since it is smaller than the sum of its proper divisors (120807560).

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

72572920 is a wasteful number, since it uses less digits than its factorization.

72572920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72572920 is about 8518.9741166410. The cubic root of 72572920 is about 417.1172966404.

The spelling of 72572920 in words is "seventy-two million, five hundred seventy-two thousand, nine hundred twenty".