72312324 has 24 divisors (see below), whose sum is σ = 192833088. Its totient is φ = 20660640.

The previous prime is 72312323. The next prime is 72312329. The reversal of 72312324 is 42321327.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72312294 and 72312303.

It is not an unprimeable number, because it can be changed into a prime (72312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430347 + ... + 430514.

It is an arithmetic number, because the mean of its divisors is an integer number (8034712).

Almost surely, 2^72312324 is an apocalyptic number.

It is an amenable number.

72312324 is an abundant number, since it is smaller than the sum of its proper divisors (120520764).

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

72312324 is a wasteful number, since it uses less digits than its factorization.

72312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860875 (or 860873 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 72312324 is about 8503.6653273750. The cubic root of 72312324 is about 416.6174340408.

The spelling of 72312324 in words is "seventy-two million, three hundred twelve thousand, three hundred twenty-four".