172980 has 54 divisors (see below), whose sum is σ = 542178. Its totient is φ = 44640.

The previous prime is 172973. The next prime is 172981. The reversal of 172980 is 89271.

172980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 34596 = 372^2 + 186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172981) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5565 + ... + 5595.

2¹⁷²⁹⁸⁰ is an apocalyptic number.

172980 is a gapful number since it is divisible by the number (10) 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 172980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271089).

172980 is an abundant number, since it is smaller than the sum of its proper divisors (369198).

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

172980 is a wasteful number, since it uses less digits than its factorization.

172980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 172980 is about 415.9086438150. The cubic root of 172980 is about 55.7183992454.

The spelling of 172980 in words is "one hundred seventy-two thousand, nine hundred eighty".