72593013413 has 2 divisors, whose sum is σ = 72593013414. Its totient is φ = 72593013412.

The previous prime is 72593013373. The next prime is 72593013487. The reversal of 72593013413 is 31431039527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69054905089 + 3538108324 = 262783^2 + 59482^2 .

It is a cyclic number.

It is not a de Polignac number, because 72593013413 - 2⁶ = 72593013349 is a prime.

It is a super-3 number, since 3×72593013413³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72593013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36296506706 + 36296506707.

It is an arithmetic number, because the mean of its divisors is an integer number (36296506707).

Almost surely, 2^72593013413 is an apocalyptic number.

It is an amenable number.

72593013413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72593013413 is an equidigital number, since it uses as much as digits as its factorization.

72593013413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 72593013413 in words is "seventy-two billion, five hundred ninety-three million, thirteen thousand, four hundred thirteen".