72112111012201 has 24 divisors (see below), whose sum is σ = 78179565420000. Its totient is φ = 66485196925056.

The previous prime is 72112111012157. The next prime is 72112111012213. The reversal of 72112111012201 is 10221011121127.

It is not a de Polignac number, because 72112111012201 - 2²⁵ = 72112077457769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72112111012231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207736590 + ... + 1207796296.

It is an arithmetic number, because the mean of its divisors is an integer number (3257481892500).

Almost surely, 2^{72112111012201} is an apocalyptic number.

It is an amenable number.

72112111012201 is a deficient number, since it is larger than the sum of its proper divisors (6067454407799).

72112111012201 is a wasteful number, since it uses less digits than its factorization.

72112111012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68185 (or 68172 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 72112111012201 its reverse (10221011121127), we get a palindrome (82333122133328).

The spelling of 72112111012201 in words is "seventy-two trillion, one hundred twelve billion, one hundred eleven million, twelve thousand, two hundred one".