72415313 has 2 divisors, whose sum is σ = 72415314. Its totient is φ = 72415312.

The previous prime is 72415261. The next prime is 72415319. The reversal of 72415313 is 31351427.

72415313 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63552784 + 8862529 = 7972^2 + 2977^2 .

It is an emirp because it is prime and its reverse (31351427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72415313 - 2⁶ = 72415249 is a prime.

It is not a weakly prime, because it can be changed into another prime (72415319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36207656 + 36207657.

It is an arithmetic number, because the mean of its divisors is an integer number (36207657).

Almost surely, 2^72415313 is an apocalyptic number.

It is an amenable number.

72415313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72415313 is an equidigital number, since it uses as much as digits as its factorization.

72415313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 72415313 is about 8509.7187380077. The cubic root of 72415313 is about 416.8151258352.

The spelling of 72415313 in words is "seventy-two million, four hundred fifteen thousand, three hundred thirteen".