180672 has 28 divisors (see below), whose sum is σ = 478536. Its totient is φ = 60160.

The previous prime is 180667. The next prime is 180679. The reversal of 180672 is 276081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180672.

It is not an unprimeable number, because it can be changed into a prime (180679) by changing a digit.

180672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 662.

2¹⁸⁰⁶⁷² is an apocalyptic number.

180672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180672 is an abundant number, since it is smaller than the sum of its proper divisors (297864).

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

180672 is an equidigital number, since it uses as much as digits as its factorization.

180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 180672 is about 425.0552905211. The cubic root of 180672 is about 56.5323384976.

The spelling of 180672 in words is "one hundred eighty thousand, six hundred seventy-two".