72015072265201 has 32 divisors (see below), whose sum is σ = 81385973383680. Its totient is φ = 63224631005184.

The previous prime is 72015072265193. The next prime is 72015072265219. The reversal of 72015072265201 is 10256227051027.

It is a cyclic number.

It is not a de Polignac number, because 72015072265201 - 2³ = 72015072265193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72015072265231) 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 in 31 ways as a sum of consecutive naturals, for example, 117358555 + ... + 117970591.

It is an arithmetic number, because the mean of its divisors is an integer number (2543311668240).

Almost surely, 2^{72015072265201} is an apocalyptic number.

It is an amenable number.

72015072265201 is a deficient number, since it is larger than the sum of its proper divisors (9370901118479).

72015072265201 is a wasteful number, since it uses less digits than its factorization.

72015072265201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614305.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 72015072265201 in words is "seventy-two trillion, fifteen billion, seventy-two million, two hundred sixty-five thousand, two hundred one".