72557660 has 48 divisors (see below), whose sum is σ = 177859584. Its totient is φ = 24345408.

The previous prime is 72557647. The next prime is 72557677. The reversal of 72557660 is 6675527.

It is a super-2 number, since 2×72557660² = 10529228049351200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (3705408).

Almost surely, 2^72557660 is an apocalyptic number.

72557660 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 72557660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88929792).

72557660 is an abundant number, since it is smaller than the sum of its proper divisors (105301924).

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

72557660 is a wasteful number, since it uses less digits than its factorization.

72557660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 72557660 is about 8518.0784218038. The cubic root of 72557660 is about 417.0880586632.

It can be divided in two parts, 725 and 57660, that added together give a palindrome (58385).

The spelling of 72557660 in words is "seventy-two million, five hundred fifty-seven thousand, six hundred sixty".