72753586601 has 2 divisors, whose sum is σ = 72753586602. Its totient is φ = 72753586600.

The previous prime is 72753586589. The next prime is 72753586627. The reversal of 72753586601 is 10668535727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41666607376 + 31086979225 = 204124^2 + 176315^2 .

It is a cyclic number.

It is not a de Polignac number, because 72753586601 - 2¹⁴ = 72753570217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72753586601.

It is not a weakly prime, because it can be changed into another prime (72753586501) 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, 36376793300 + 36376793301.

It is an arithmetic number, because the mean of its divisors is an integer number (36376793301).

Almost surely, 2^72753586601 is an apocalyptic number.

It is an amenable number.

72753586601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72753586601 is an equidigital number, since it uses as much as digits as its factorization.

72753586601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 72753586601 in words is "seventy-two billion, seven hundred fifty-three million, five hundred eighty-six thousand, six hundred one".