133272 has 32 divisors (see below), whose sum is σ = 370800. Its totient is φ = 44352.

The previous prime is 133271. The next prime is 133277. The reversal of 133272 is 272331.

It is a super-2 number, since 2×133272² = 35522851968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3 + 2 + 3⁷ + 7 + 2¹⁷ .

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 133272.

It is not an unprimeable number, because it can be changed into a prime (133271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 524.

2¹³³²⁷² is an apocalyptic number.

133272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133272 is an abundant number, since it is smaller than the sum of its proper divisors (237528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133272 is a wasteful number, since it uses less digits than its factorization.

133272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

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

The square root of 133272 is about 365.0643778842. The cubic root of 133272 is about 51.0794609062.

The spelling of 133272 in words is "one hundred thirty-three thousand, two hundred seventy-two".