72288304317 has 12 divisors (see below), whose sum is σ = 104418925884. Its totient is φ = 48191055360.

The previous prime is 72288304259. The next prime is 72288304391. The reversal of 72288304317 is 71340388227.

72288304317 is a `hidden beast` number, since 7 + 2 + 28 + 8 + 304 + 317 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56079449721 + 16208854596 = 236811^2 + 127314^2 .

It is not a de Polignac number, because 72288304317 - 2¹¹ = 72288302269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72288304217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495967 + ... + 624947.

It is an arithmetic number, because the mean of its divisors is an integer number (8701577157).

Almost surely, 2^72288304317 is an apocalyptic number.

It is an amenable number.

72288304317 is a deficient number, since it is larger than the sum of its proper divisors (32130621567).

72288304317 is a wasteful number, since it uses less digits than its factorization.

72288304317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191260 (or 191257 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72288304317 in words is "seventy-two billion, two hundred eighty-eight million, three hundred four thousand, three hundred seventeen".