72608413 has 2 divisors, whose sum is σ = 72608414. Its totient is φ = 72608412.

The previous prime is 72608407. The next prime is 72608429. The reversal of 72608413 is 31480627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49308484 + 23299929 = 7022^2 + 4827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72608413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72608113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36304206 + 36304207.

It is an arithmetic number, because the mean of its divisors is an integer number (36304207).

Almost surely, 2^72608413 is an apocalyptic number.

It is an amenable number.

72608413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72608413 is an equidigital number, since it uses as much as digits as its factorization.

72608413 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 31.

The square root of 72608413 is about 8521.0570353683. The cubic root of 72608413 is about 417.1852849541.

The spelling of 72608413 in words is "seventy-two million, six hundred eight thousand, four hundred thirteen".