72324 has 54 divisors (see below), whose sum is σ = 217854. Its totient is φ = 20160.

The previous prime is 72313. The next prime is 72337. The reversal of 72324 is 42327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 28224 = 210^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

72324 is a modest number, since divided by 324 gives 72 as remainder.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 72297 and 72306.

It is a congruent number.

It is an unprimeable number.

72324 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 17 ways as a sum of consecutive naturals, for example, 1744 + ... + 1784.

2⁷²³²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927).

72324 is an abundant number, since it is smaller than the sum of its proper divisors (145530).

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

72324 is a wasteful number, since it uses less digits than its factorization.

72324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 72324 is about 268.9312179722. The cubic root of 72324 is about 41.6639856053.

It can be divided in two parts, 723 and 24, that added together give a palindrome (747).

The spelling of 72324 in words is "seventy-two thousand, three hundred twenty-four", and thus it is an iban number.