72665332162697 has 2 divisors, whose sum is σ = 72665332162698. Its totient is φ = 72665332162696.

The previous prime is 72665332162613. The next prime is 72665332162739. The reversal of 72665332162697 is 79626123356627.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67219927898176 + 5445404264521 = 8198776^2 + 2333539^2 .

It is a cyclic number.

It is not a de Polignac number, because 72665332162697 - 2¹⁰ = 72665332161673 is a prime.

It is a super-4 number, since 4×72665332162697⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (72665332162897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36332666081348 + 36332666081349.

It is an arithmetic number, because the mean of its divisors is an integer number (36332666081349).

Almost surely, 2^{72665332162697} is an apocalyptic number.

It is an amenable number.

72665332162697 is a deficient number, since it is larger than the sum of its proper divisors (1).

72665332162697 is an equidigital number, since it uses as much as digits as its factorization.

72665332162697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 205752960, while the sum is 65.

The spelling of 72665332162697 in words is "seventy-two trillion, six hundred sixty-five billion, three hundred thirty-two million, one hundred sixty-two thousand, six hundred ninety-seven".