180172 has 12 divisors (see below), whose sum is σ = 325696. Its totient is φ = 87120.

The previous prime is 180161. The next prime is 180179. The reversal of 180172 is 271081.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (180179) 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, 603 + ... + 850.

2¹⁸⁰¹⁷² is an apocalyptic number.

It is an amenable number.

180172 is a deficient number, since it is larger than the sum of its proper divisors (145524).

180172 is a wasteful number, since it uses less digits than its factorization.

180172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

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

The square root of 180172 is about 424.4667242553. The cubic root of 180172 is about 56.4801402517.

Subtracting 180172 from its reverse (271081), we obtain a palindrome (90909).

The spelling of 180172 in words is "one hundred eighty thousand, one hundred seventy-two".