172056 has 32 divisors (see below), whose sum is σ = 440640. Its totient is φ = 55968.

The previous prime is 172049. The next prime is 172069. The reversal of 172056 is 650271.

It is a congruent number.

It is an unprimeable number.

172056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2¹⁷²⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

172056 is an abundant number, since it is smaller than the sum of its proper divisors (268584).

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

172056 is a wasteful number, since it uses less digits than its factorization.

172056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 172056 is about 414.7963355672. The cubic root of 172056 is about 55.6190125273.

The spelling of 172056 in words is "one hundred seventy-two thousand, fifty-six".