172572 has 24 divisors (see below), whose sum is σ = 410256. Its totient is φ = 56448.

The previous prime is 172561. The next prime is 172573. The reversal of 172572 is 275271.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172572.

It is not an unprimeable number, because it can be changed into a prime (172573) by changing a digit.

172572 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (17094).

2¹⁷²⁵⁷² is an apocalyptic number.

172572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172572 is an abundant number, since it is smaller than the sum of its proper divisors (237684).

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

172572 is a wasteful number, since it uses less digits than its factorization.

172572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 172572 is about 415.4178619174. The cubic root of 172572 is about 55.6745579468.

The spelling of 172572 in words is "one hundred seventy-two thousand, five hundred seventy-two".