33672 has 32 divisors (see below), whose sum is σ = 89280. Its totient is φ = 10560.

The previous prime is 33647. The next prime is 33679. The reversal of 33672 is 27633.

It is a super-2 number, since 2×33672² = 2267607168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33679) by changing a digit.

33672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 522 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³³⁶⁷² is an apocalyptic number.

It is a pronic number, being equal to 183×184.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

33672 is an abundant number, since it is smaller than the sum of its proper divisors (55608).

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

33672 is a wasteful number, since it uses less digits than its factorization.

33672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 33672 is about 183.4993187998. The cubic root of 33672 is about 32.2916054572.

The spelling of 33672 in words is "thirty-three thousand, six hundred seventy-two".