72808313 has 2 divisors, whose sum is σ = 72808314. Its totient is φ = 72808312.

The previous prime is 72808303. The next prime is 72808327. The reversal of 72808313 is 31380827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65480464 + 7327849 = 8092^2 + 2707^2 .

It is a cyclic number.

It is not a de Polignac number, because 72808313 - 2⁶ = 72808249 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72808313.

It is not a weakly prime, because it can be changed into another prime (72808303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36404156 + 36404157.

It is an arithmetic number, because the mean of its divisors is an integer number (36404157).

Almost surely, 2^72808313 is an apocalyptic number.

It is an amenable number.

72808313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72808313 is an equidigital number, since it uses as much as digits as its factorization.

72808313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 72808313 is about 8532.7787384884. The cubic root of 72808313 is about 417.5677884836.

The spelling of 72808313 in words is "seventy-two million, eight hundred eight thousand, three hundred thirteen".