72761102726717 has 2 divisors, whose sum is σ = 72761102726718. Its totient is φ = 72761102726716.

The previous prime is 72761102726681. The next prime is 72761102726723. The reversal of 72761102726717 is 71762720116727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70389767599321 + 2371335127396 = 8389861^2 + 1539914^2 .

It is a cyclic number.

It is not a de Polignac number, because 72761102726717 - 2¹⁸ = 72761102464573 is a prime.

It is a super-3 number, since 3×72761102726717³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72761102726317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36380551363358 + 36380551363359.

It is an arithmetic number, because the mean of its divisors is an integer number (36380551363359).

Almost surely, 2^{72761102726717} is an apocalyptic number.

It is an amenable number.

72761102726717 is a deficient number, since it is larger than the sum of its proper divisors (1).

72761102726717 is an equidigital number, since it uses as much as digits as its factorization.

72761102726717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4840416, while the sum is 56.

The spelling of 72761102726717 in words is "seventy-two trillion, seven hundred sixty-one billion, one hundred two million, seven hundred twenty-six thousand, seven hundred seventeen".