72166266117002 has 16 divisors (see below), whose sum is σ = 110890686730824. Its totient is φ = 35202720672000.

The previous prime is 72166266116999. The next prime is 72166266117047. The reversal of 72166266117002 is 20071166266127.

It can be written as a sum of positive squares in 4 ways, for example, as 57841789733641 + 14324476383361 = 7605379^2 + 3784769^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4555352 + ... + 12848492.

Almost surely, 2^{72166266117002} is an apocalyptic number.

72166266117002 is a deficient number, since it is larger than the sum of its proper divisors (38724420613822).

72166266117002 is a wasteful number, since it uses less digits than its factorization.

72166266117002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399305.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 72166266117002 in words is "seventy-two trillion, one hundred sixty-six billion, two hundred sixty-six million, one hundred seventeen thousand, two".