59172 has 12 divisors (see below), whose sum is σ = 138096. Its totient is φ = 19720.

The previous prime is 59167. The next prime is 59183. The reversal of 59172 is 27195.

59172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59172.

It is an unprimeable number.

59172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2454 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (11508).

2⁵⁹¹⁷² is an apocalyptic number.

It is an amenable number.

59172 is an abundant number, since it is smaller than the sum of its proper divisors (78924).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048).

59172 is a wasteful number, since it uses less digits than its factorization.

59172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4936 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 59172 is about 243.2529547611. The cubic root of 59172 is about 38.9677577042.

It can be divided in two parts, 59 and 172, that added together give a triangular number (231 = T₂₁).

The spelling of 59172 in words is "fifty-nine thousand, one hundred seventy-two".