72289141791817 has 2 divisors, whose sum is σ = 72289141791818. Its totient is φ = 72289141791816.

The previous prime is 72289141791793. The next prime is 72289141791821. The reversal of 72289141791817 is 71819714198227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36786420562761 + 35502721229056 = 6065181^2 + 5958416^2 .

It is an emirp because it is prime and its reverse (71819714198227) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72289141791817 is a prime.

It is a super-2 number, since 2×72289141791817² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72289141761817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36144570895908 + 36144570895909.

It is an arithmetic number, because the mean of its divisors is an integer number (36144570895909).

Almost surely, 2^{72289141791817} is an apocalyptic number.

It is an amenable number.

72289141791817 is a deficient number, since it is larger than the sum of its proper divisors (1).

72289141791817 is an equidigital number, since it uses as much as digits as its factorization.

72289141791817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28449792, while the sum is 67.

The spelling of 72289141791817 in words is "seventy-two trillion, two hundred eighty-nine billion, one hundred forty-one million, seven hundred ninety-one thousand, eight hundred seventeen".