72817169 has 2 divisors, whose sum is σ = 72817170. Its totient is φ = 72817168.

The previous prime is 72817159. The next prime is 72817181. The reversal of 72817169 is 96171827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65044225 + 7772944 = 8065^2 + 2788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72817169 is a prime.

It is a super-2 number, since 2×72817169² = 10604680202349122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72817159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36408584 + 36408585.

It is an arithmetic number, because the mean of its divisors is an integer number (36408585).

Almost surely, 2^72817169 is an apocalyptic number.

It is an amenable number.

72817169 is a deficient number, since it is larger than the sum of its proper divisors (1).

72817169 is an equidigital number, since it uses as much as digits as its factorization.

72817169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 41.

The square root of 72817169 is about 8533.2976626859. The cubic root of 72817169 is about 417.5847180083.

The spelling of 72817169 in words is "seventy-two million, eight hundred seventeen thousand, one hundred sixty-nine".