272613121 has 27 divisors (see below), whose sum is σ = 320304033. Its totient is φ = 231814440.

The previous prime is 272613119. The next prime is 272613167. The reversal of 272613121 is 121316272.

It is a happy number.

The square root of 272613121 is 16511.

It is a perfect power (a square), and thus also a powerful number.

272613121 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 272613121 - 2¹ = 272613119 is a prime.

It is a super-3 number, since 3×272613121³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (272613191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3450760 + ... + 3450838.

Almost surely, 2^272613121 is an apocalyptic number.

272613121 is the 16511-st square number.

272613121 is the 8256-th centered octagonal number.

It is an amenable number.

272613121 is a deficient number, since it is larger than the sum of its proper divisors (47690912).

272613121 is an equidigital number, since it uses as much as digits as its factorization.

272613121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The cubic root of 272613121 is about 648.4088267896.

Multiplying 272613121 by its sum of digits (25), we get a square (6815328025 = 82555²).

Adding to 272613121 its reverse (121316272), we get a palindrome (393929393).

The spelling of 272613121 in words is "two hundred seventy-two million, six hundred thirteen thousand, one hundred twenty-one".