72807344 has 40 divisors (see below), whose sum is σ = 146478720. Its totient is φ = 35020800.

The previous prime is 72807331. The next prime is 72807347. The reversal of 72807344 is 44370827.

It is not an unprimeable number, because it can be changed into a prime (72807347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113264 + ... + 113904.

It is an arithmetic number, because the mean of its divisors is an integer number (3661968).

Almost surely, 2^72807344 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 72807344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73239360).

72807344 is an abundant number, since it is smaller than the sum of its proper divisors (73671376).

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

72807344 is a wasteful number, since it uses less digits than its factorization.

72807344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 72807344 is about 8532.7219572655. The cubic root of 72807344 is about 417.5659360166.

The spelling of 72807344 in words is "seventy-two million, eight hundred seven thousand, three hundred forty-four".