72312912 has 120 divisors (see below), whose sum is σ = 239942976. Its totient is φ = 20653056.

The previous prime is 72312871. The next prime is 72312913. The reversal of 72312912 is 21921327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72312913) 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 23 ways as a sum of consecutive naturals, for example, 25888 + ... + 28544.

Almost surely, 2^72312912 is an apocalyptic number.

72312912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72312912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119971488).

72312912 is an abundant number, since it is smaller than the sum of its proper divisors (167630064).

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

72312912 is a wasteful number, since it uses less digits than its factorization.

72312912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2669 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 72312912 is about 8503.6999006315. The cubic root of 72312912 is about 416.6185632645.

The spelling of 72312912 in words is "seventy-two million, three hundred twelve thousand, nine hundred twelve".