72332 has 18 divisors (see below), whose sum is σ = 138348. Its totient is φ = 33072.

The previous prime is 72313. The next prime is 72337. The reversal of 72332 is 23327.

It is a self number, because there is not a number n which added to its sum of digits gives 72332.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72332.

It is not an unprimeable number, because it can be changed into a prime (72337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 623 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2⁷²³³² is an apocalyptic number.

It is an amenable number.

72332 is a deficient number, since it is larger than the sum of its proper divisors (66016).

72332 is a wasteful number, since it uses less digits than its factorization.

72332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its digits is 252, while the sum is 17.

The square root of 72332 is about 268.9460912525. The cubic root of 72332 is about 41.6655217463.

Adding to 72332 its reverse (23327), we get a palindrome (95659).

It can be divided in two parts, 72 and 332, that added together give a palindrome (404).

The spelling of 72332 in words is "seventy-two thousand, three hundred thirty-two".