72313013 has 2 divisors, whose sum is σ = 72313014. Its totient is φ = 72313012.

The previous prime is 72313001. The next prime is 72313063. The reversal of 72313013 is 31031327.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71791729 + 521284 = 8473^2 + 722^2 .

It is a cyclic number.

It is not a de Polignac number, because 72313013 - 2⁶ = 72312949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72313063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36156506 + 36156507.

It is an arithmetic number, because the mean of its divisors is an integer number (36156507).

Almost surely, 2^72313013 is an apocalyptic number.

It is an amenable number.

72313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72313013 is an equidigital number, since it uses as much as digits as its factorization.

72313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 72313013 is about 8503.7058392209. The cubic root of 72313013 is about 416.6187572292.

The spelling of 72313013 in words is "seventy-two million, three hundred thirteen thousand, thirteen".