72107513 has 2 divisors, whose sum is σ = 72107514. Its totient is φ = 72107512.

The previous prime is 72107473. The next prime is 72107573. The reversal of 72107513 is 31570127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68095504 + 4012009 = 8252^2 + 2003^2 .

It is a cyclic number.

It is not a de Polignac number, because 72107513 - 2⁶ = 72107449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72107573) 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, 36053756 + 36053757.

It is an arithmetic number, because the mean of its divisors is an integer number (36053757).

Almost surely, 2^72107513 is an apocalyptic number.

It is an amenable number.

72107513 is a deficient number, since it is larger than the sum of its proper divisors (1).

72107513 is an equidigital number, since it uses as much as digits as its factorization.

72107513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 72107513 is about 8491.6142752718. The cubic root of 72107513 is about 416.2237320460.

The spelling of 72107513 in words is "seventy-two million, one hundred seven thousand, five hundred thirteen".