33572 has 24 divisors (see below), whose sum is σ = 73920. Its totient is φ = 12960.

The previous prime is 33569. The next prime is 33577. The reversal of 33572 is 27533.

It is a super-2 number, since 2×33572² = 2254158368, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33577) 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, 254 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2³³⁵⁷² 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 33572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

33572 is an abundant number, since it is smaller than the sum of its proper divisors (40348).

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

33572 is a wasteful number, since it uses less digits than its factorization.

33572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 33572 is about 183.2266356183. The cubic root of 33572 is about 32.2596069370.

The spelling of 33572 in words is "thirty-three thousand, five hundred seventy-two".