33057072 has 100 divisors (see below), whose sum is σ = 99926640. Its totient is φ = 10530432.

The previous prime is 33057047. The next prime is 33057083. The reversal of 33057072 is 27075033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29254 + ... + 30362.

Almost surely, 2^33057072 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 33057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49963320).

33057072 is an abundant number, since it is smaller than the sum of its proper divisors (66869568).

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

33057072 is a wasteful number, since it uses less digits than its factorization.

33057072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 33057072 is about 5749.5279806259. The cubic root of 33057072 is about 320.9382359986.

The spelling of 33057072 in words is "thirty-three million, fifty-seven thousand, seventy-two".