180772 has 12 divisors (see below), whose sum is σ = 324016. Its totient is φ = 88200.

The previous prime is 180751. The next prime is 180773. The reversal of 180772 is 277081.

It is a happy number.

180772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180773) 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, 354 + ... + 697.

2¹⁸⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

180772 is a deficient number, since it is larger than the sum of its proper divisors (143244).

180772 is a wasteful number, since it uses less digits than its factorization.

180772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 180772 is about 425.1729060041. The cubic root of 180772 is about 56.5427665867.

The spelling of 180772 in words is "one hundred eighty thousand, seven hundred seventy-two".