72112305201 has 16 divisors (see below), whose sum is σ = 96339566400. Its totient is φ = 47980044288.

The previous prime is 72112305197. The next prime is 72112305211. The reversal of 72112305201 is 10250321127.

It is not a de Polignac number, because 72112305201 - 2² = 72112305197 is a prime.

It is a super-2 number, since 2×72112305201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72112305211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3702250 + ... + 3721676.

It is an arithmetic number, because the mean of its divisors is an integer number (6021222900).

Almost surely, 2^72112305201 is an apocalyptic number.

It is an amenable number.

72112305201 is a deficient number, since it is larger than the sum of its proper divisors (24227261199).

72112305201 is a wasteful number, since it uses less digits than its factorization.

72112305201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21808.

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 72112305201 its reverse (10250321127), we get a palindrome (82362626328).

The spelling of 72112305201 in words is "seventy-two billion, one hundred twelve million, three hundred five thousand, two hundred one".