72807328 has 96 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 29793280.

The previous prime is 72807323. The next prime is 72807331. The reversal of 72807328 is 82370827.

It is not an unprimeable number, because it can be changed into a prime (72807323) 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 15 ways as a sum of consecutive naturals, for example, 3165525 + ... + 3165547.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^72807328 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 72807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

72807328 is an abundant number, since it is smaller than the sum of its proper divisors (100286432).

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

72807328 is a wasteful number, since it uses less digits than its factorization.

72807328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 72807328 is about 8532.7210196982. The cubic root of 72807328 is about 417.5659054288.

The spelling of 72807328 in words is "seventy-two million, eight hundred seven thousand, three hundred twenty-eight".