172180 has 12 divisors (see below), whose sum is σ = 361620. Its totient is φ = 68864.

The previous prime is 172171. The next prime is 172181. The reversal of 172180 is 81271.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 121104 = 226^2 + 348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4285 + ... + 4324.

It is an arithmetic number, because the mean of its divisors is an integer number (30135).

2¹⁷²¹⁸⁰ is an apocalyptic number.

172180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172180 is an abundant number, since it is smaller than the sum of its proper divisors (189440).

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

172180 is a wasteful number, since it uses less digits than its factorization.

172180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 172180 is about 414.9457795905. The cubic root of 172180 is about 55.6323707777.

Subtracting from 172180 its reverse (81271), we obtain a palindrome (90909).

It can be divided in two parts, 17 and 2180, that added together give a cube (2197 = 13³).

The spelling of 172180 in words is "one hundred seventy-two thousand, one hundred eighty".