272133202331272 has 16 divisors (see below), whose sum is σ = 510334387029900. Its totient is φ = 136044032456640.

The previous prime is 272133202331189. The next prime is 272133202331293.

272133202331272 is nontrivially palindromic in base 10.

272133202331272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 237635975378916 + 34497226952356 = 15415446^2 + 5873434^2 .

It is a super-2 number, since 2×272133202331272² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2821037379 + ... + 2821133842.

Almost surely, 2^{272133202331272} is an apocalyptic number.

It is an amenable number.

272133202331272 is a deficient number, since it is larger than the sum of its proper divisors (238201184698628).

272133202331272 is a wasteful number, since it uses less digits than its factorization.

272133202331272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642177256 (or 5642177252 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

It can be divided in two parts, 27213320 and 2331272, that added together give a palindrome (29544592).

The spelling of 272133202331272 in words is "two hundred seventy-two trillion, one hundred thirty-three billion, two hundred two million, three hundred thirty-one thousand, two hundred seventy-two".