72115560 has 96 divisors (see below), whose sum is σ = 255696480. Its totient is φ = 17481600.

The previous prime is 72115529. The next prime is 72115591. The reversal of 72115560 is 6551127.

It is an interprime number because it is at equal distance from previous prime (72115529) and next prime (72115591).

It is a super-2 number, since 2×72115560² = 10401307988227200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5146 + ... + 13065.

It is an arithmetic number, because the mean of its divisors is an integer number (2663505).

Almost surely, 2^72115560 is an apocalyptic number.

It is an amenable number.

72115560 is an abundant number, since it is smaller than the sum of its proper divisors (183580920).

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

72115560 is a wasteful number, since it uses less digits than its factorization.

72115560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18239 (or 18232 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72115560 is about 8492.0880824447. The cubic root of 72115560 is about 416.2392146111.

Adding to 72115560 its reverse (6551127), we get a palindrome (78666687).

The spelling of 72115560 in words is "seventy-two million, one hundred fifteen thousand, five hundred sixty".