272133 has 8 divisors (see below), whose sum is σ = 403200. Its totient is φ = 181404.

The previous prime is 272131. The next prime is 272141. The reversal of 272133 is 331272.

It is not a de Polignac number, because 272133 - 2¹ = 272131 is a prime.

272133 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272133.

It is not an unprimeable number, because it can be changed into a prime (272131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5013 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2²⁷²¹³³ is an apocalyptic number.

It is an amenable number.

272133 is a deficient number, since it is larger than the sum of its proper divisors (131067).

272133 is a wasteful number, since it uses less digits than its factorization.

272133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10082 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 272133 is about 521.6636847625. The cubic root of 272133 is about 64.8027948040.

The spelling of 272133 in words is "two hundred seventy-two thousand, one hundred thirty-three".