72653640013 has 2 divisors, whose sum is σ = 72653640014. Its totient is φ = 72653640012.

The previous prime is 72653639977. The next prime is 72653640049. The reversal of 72653640013 is 31004635627.

It is a balanced prime because it is at equal distance from previous prime (72653639977) and next prime (72653640049).

It can be written as a sum of positive squares in only one way, i.e., 38831855364 + 33821784649 = 197058^2 + 183907^2 .

It is a cyclic number.

It is not a de Polignac number, because 72653640013 - 2⁹ = 72653639501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72653640053) 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, 36326820006 + 36326820007.

It is an arithmetic number, because the mean of its divisors is an integer number (36326820007).

Almost surely, 2^72653640013 is an apocalyptic number.

It is an amenable number.

72653640013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72653640013 is an equidigital number, since it uses as much as digits as its factorization.

72653640013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 72653640013 in words is "seventy-two billion, six hundred fifty-three million, six hundred forty thousand, thirteen".