33072 has 40 divisors (see below), whose sum is σ = 93744. Its totient is φ = 9984.

The previous prime is 33071. The next prime is 33073. The reversal of 33072 is 27033.

It is an interprime number because it is at equal distance from previous prime (33071) and next prime (33073).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33072.

It is not an unprimeable number, because it can be changed into a prime (33071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598 + ... + 650.

2³³⁰⁷² 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 33072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

33072 is an abundant number, since it is smaller than the sum of its proper divisors (60672).

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

33072 is a wasteful number, since it uses less digits than its factorization.

33072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 33072 is about 181.8570867467. The cubic root of 33072 is about 32.0986538774.

It can be divided in two parts, 3 and 3072, that multiplied together give a square (9216 = 96²).

The spelling of 33072 in words is "thirty-three thousand, seventy-two".