33372 has 30 divisors (see below), whose sum is σ = 88088. Its totient is φ = 11016.

The previous prime is 33359. The next prime is 33377. The reversal of 33372 is 27333.

It is a super-2 number, since 2×33372² = 2227380768, 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 3² + 3² + 3⁵ + 7³ + 2¹⁵ .

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 33372.

It is not an unprimeable number, because it can be changed into a prime (33377) by changing a digit.

33372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 273 + ... + 375.

2³³³⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44044).

33372 is an abundant number, since it is smaller than the sum of its proper divisors (54716).

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

33372 is a wasteful number, since it uses less digits than its factorization.

33372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 378, while the sum is 18.

The square root of 33372 is about 182.6800481717. The cubic root of 33372 is about 32.1954187636.

It can be divided in two parts, 3 and 3372, that added together give a cube (3375 = 15³).

The spelling of 33372 in words is "thirty-three thousand, three hundred seventy-two".