172880 has 20 divisors (see below), whose sum is σ = 402132. Its totient is φ = 69120.

The previous prime is 172877. The next prime is 172883. The reversal of 172880 is 88271.

It is an interprime number because it is at equal distance from previous prime (172877) and next prime (172883).

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 87616 = 292^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1001 + ... + 1160.

2¹⁷²⁸⁸⁰ is an apocalyptic number.

172880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172880 is an abundant number, since it is smaller than the sum of its proper divisors (229252).

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

172880 is a wasteful number, since it uses less digits than its factorization.

172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 172880 is about 415.7884077268. The cubic root of 172880 is about 55.7076602121.

The spelling of 172880 in words is "one hundred seventy-two thousand, eight hundred eighty".