330017072 has 80 divisors (see below), whose sum is σ = 822994944. Its totient is φ = 124416000.

The previous prime is 330017063. The next prime is 330017089. The reversal of 330017072 is 270710033.

It is a super-2 number, since 2×330017072² = 217822535622906368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33872 + ... + 42512.

Almost surely, 2^330017072 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 330017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411497472).

330017072 is an abundant number, since it is smaller than the sum of its proper divisors (492977872).

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

330017072 is a wasteful number, since it uses less digits than its factorization.

330017072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 330017072 is about 18166.3720098428. The cubic root of 330017072 is about 691.0542394366.

The spelling of 330017072 in words is "three hundred thirty million, seventeen thousand, seventy-two".