72324312 has 32 divisors (see below), whose sum is σ = 183292080. Its totient is φ = 23777280.

The previous prime is 72324311. The next prime is 72324313. The reversal of 72324312 is 21342327.

It is an interprime number because it is at equal distance from previous prime (72324311) and next prime (72324313).

It is a super-2 number, since 2×72324312² = 10461612212546688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72324311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18889 + ... + 22392.

Almost surely, 2^72324312 is an apocalyptic number.

It is an amenable number.

72324312 is an abundant number, since it is smaller than the sum of its proper divisors (110967768).

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

72324312 is a wasteful number, since it uses less digits than its factorization.

72324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41363 (or 41359 counting only the distinct ones).

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

The square root of 72324312 is about 8504.3701706828. The cubic root of 72324312 is about 416.6404551689.

Adding to 72324312 its reverse (21342327), we get a palindrome (93666639).

It can be divided in two parts, 723243 and 12, that multiplied together give a square (8678916 = 2946²).

The spelling of 72324312 in words is "seventy-two million, three hundred twenty-four thousand, three hundred twelve".