72959413 has 2 divisors, whose sum is σ = 72959414. Its totient is φ = 72959412.

The previous prime is 72959401. The next prime is 72959417. The reversal of 72959413 is 31495927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65658609 + 7300804 = 8103^2 + 2702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72959413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72959417) 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 as a sum of consecutive naturals, namely, 36479706 + 36479707.

It is an arithmetic number, because the mean of its divisors is an integer number (36479707).

Almost surely, 2^72959413 is an apocalyptic number.

It is an amenable number.

72959413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72959413 is an equidigital number, since it uses as much as digits as its factorization.

72959413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 40.

The square root of 72959413 is about 8541.6282405640. The cubic root of 72959413 is about 417.8564501009.

The spelling of 72959413 in words is "seventy-two million, nine hundred fifty-nine thousand, four hundred thirteen".