33272 has 8 divisors (see below), whose sum is σ = 62400. Its totient is φ = 16632.

The previous prime is 33247. The next prime is 33287. The reversal of 33272 is 27233.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33272² = 2214051968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33272.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 2072 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2³³²⁷² is an apocalyptic number.

33272 is the 98-th centered heptagonal number.

It is an amenable number.

33272 is a deficient number, since it is larger than the sum of its proper divisors (29128).

33272 is a wasteful number, since it uses less digits than its factorization.

33272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4161 counting only the distinct ones).

The product of its digits is 252, while the sum is 17.

The square root of 33272 is about 182.4061402475. The cubic root of 33272 is about 32.1632284739.

It can be divided in two parts, 332 and 72, that added together give a palindrome (404).

The spelling of 33272 in words is "thirty-three thousand, two hundred seventy-two".