72096920166097 has 2 divisors, whose sum is σ = 72096920166098. Its totient is φ = 72096920166096.

The previous prime is 72096920166031. The next prime is 72096920166119. The reversal of 72096920166097 is 79066102969027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56224217954961 + 15872702211136 = 7498281^2 + 3984056^2 .

It is a cyclic number.

It is not a de Polignac number, because 72096920166097 - 2²³ = 72096911777489 is a prime.

It is not a weakly prime, because it can be changed into another prime (72096920166497) 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, 36048460083048 + 36048460083049.

It is an arithmetic number, because the mean of its divisors is an integer number (36048460083049).

Almost surely, 2^{72096920166097} is an apocalyptic number.

It is an amenable number.

72096920166097 is a deficient number, since it is larger than the sum of its proper divisors (1).

72096920166097 is an equidigital number, since it uses as much as digits as its factorization.

72096920166097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30862944, while the sum is 64.

The spelling of 72096920166097 in words is "seventy-two trillion, ninety-six billion, nine hundred twenty million, one hundred sixty-six thousand, ninety-seven".