33066972 has 72 divisors (see below), whose sum is σ = 89867232. Its totient is φ = 10214400.

The previous prime is 33066961. The next prime is 33067007. The reversal of 33066972 is 27966033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43072 + ... + 43832.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^33066972 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 33066972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44933616).

33066972 is an abundant number, since it is smaller than the sum of its proper divisors (56800260).

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

33066972 is a wasteful number, since it uses less digits than its factorization.

33066972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 33066972 is about 5750.3888564166. The cubic root of 33066972 is about 320.9702712154.

The spelling of 33066972 in words is "thirty-three million, sixty-six thousand, nine hundred seventy-two".