72785313 has 12 divisors (see below), whose sum is σ = 111318948. Its totient is φ = 45669120.

The previous prime is 72785311. The next prime is 72785329. The reversal of 72785313 is 31358727.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 32182929 = 6372^2 + 5673^2 .

It is not a de Polignac number, because 72785313 - 2¹ = 72785311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72785311) 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 11 ways as a sum of consecutive naturals, for example, 237708 + ... + 238013.

It is an arithmetic number, because the mean of its divisors is an integer number (9276579).

Almost surely, 2^72785313 is an apocalyptic number.

It is an amenable number.

72785313 is a deficient number, since it is larger than the sum of its proper divisors (38533635).

72785313 is a wasteful number, since it uses less digits than its factorization.

72785313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475744 (or 475741 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72785313 is about 8531.4308881922. The cubic root of 72785313 is about 417.5238142439.

The spelling of 72785313 in words is "seventy-two million, seven hundred eighty-five thousand, three hundred thirteen".