72166801168907 has 2 divisors, whose sum is σ = 72166801168908. Its totient is φ = 72166801168906.

The previous prime is 72166801168783. The next prime is 72166801168999. The reversal of 72166801168907 is 70986110866127.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72166801168907 - 2³⁶ = 72098081692171 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72166801168907.

It is not a weakly prime, because it can be changed into another prime (72166801768907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36083400584453 + 36083400584454.

It is an arithmetic number, because the mean of its divisors is an integer number (36083400584454).

Almost surely, 2^{72166801168907} is an apocalyptic number.

72166801168907 is a deficient number, since it is larger than the sum of its proper divisors (1).

72166801168907 is an equidigital number, since it uses as much as digits as its factorization.

72166801168907 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12192768, while the sum is 62.

The spelling of 72166801168907 in words is "seventy-two trillion, one hundred sixty-six billion, eight hundred one million, one hundred sixty-eight thousand, nine hundred seven".