180872 has 16 divisors (see below), whose sum is σ = 354240. Its totient is φ = 86416.

The previous prime is 180871. The next prime is 180883. The reversal of 180872 is 278081.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180872.

It is not an unprimeable number, because it can be changed into a prime (180871) 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, 308 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2¹⁸⁰⁸⁷² is an apocalyptic number.

It is an amenable number.

180872 is a deficient number, since it is larger than the sum of its proper divisors (173368).

180872 is a wasteful number, since it uses less digits than its factorization.

180872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

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

The square root of 180872 is about 425.2904889602. The cubic root of 180872 is about 56.5531908308.

The spelling of 180872 in words is "one hundred eighty thousand, eight hundred seventy-two".