59167440072 has 96 divisors (see below), whose sum is σ = 172879761600. Its totient is φ = 18172867968.

The previous prime is 59167440061. The next prime is 59167440113. The reversal of 59167440072 is 27004476195.

It is a super-2 number, since 2×59167440072² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470829 + ... + 583107.

It is an arithmetic number, because the mean of its divisors is an integer number (1800830850).

Almost surely, 2^59167440072 is an apocalyptic number.

59167440072 is a gapful number since it is divisible by the number (52) 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 59167440072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86439880800).

59167440072 is an abundant number, since it is smaller than the sum of its proper divisors (113712321528).

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

59167440072 is a wasteful number, since it uses less digits than its factorization.

59167440072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112867 (or 112860 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 59167440072 in words is "fifty-nine billion, one hundred sixty-seven million, four hundred forty thousand, seventy-two".