180232 has 16 divisors (see below), whose sum is σ = 364140. Its totient is φ = 83136.

The previous prime is 180221. The next prime is 180233. The reversal of 180232 is 232081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 8836 = 414^2 + 94^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (180233) 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, 763 + ... + 970.

2¹⁸⁰²³² is an apocalyptic number.

It is an amenable number.

180232 is an abundant number, since it is smaller than the sum of its proper divisors (183908).

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

180232 is a wasteful number, since it uses less digits than its factorization.

180232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 180232 is about 424.5373952905. The cubic root of 180232 is about 56.4864091361.

It can be divided in two parts, 18023 and 2, that multiplied together give a triangular number (36046 = T₂₆₈).

The spelling of 180232 in words is "one hundred eighty thousand, two hundred thirty-two".