727392013 has 2 divisors, whose sum is σ = 727392014. Its totient is φ = 727392012.

The previous prime is 727391993. The next prime is 727392019. The reversal of 727392013 is 310293727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 611226729 + 116165284 = 24723^2 + 10778^2 .

It is a cyclic number.

It is not a de Polignac number, because 727392013 - 2²⁹ = 190521101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 727392013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727392019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363696006 + 363696007.

It is an arithmetic number, because the mean of its divisors is an integer number (363696007).

Almost surely, 2^727392013 is an apocalyptic number.

It is an amenable number.

727392013 is a deficient number, since it is larger than the sum of its proper divisors (1).

727392013 is an equidigital number, since it uses as much as digits as its factorization.

727392013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 727392013 is about 26970.2060244263. The cubic root of 727392013 is about 899.3377898272.

The spelling of 727392013 in words is "seven hundred twenty-seven million, three hundred ninety-two thousand, thirteen".