330072 has 32 divisors (see below), whose sum is σ = 874800. Its totient is φ = 103424.

The previous prime is 330067. The next prime is 330097. The reversal of 330072 is 270033.

It is a congruent number.

It is an unprimeable number.

330072 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 812.

2³³⁰⁰⁷² 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 330072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400).

330072 is an abundant number, since it is smaller than the sum of its proper divisors (544728).

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

330072 is a wasteful number, since it uses less digits than its factorization.

330072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

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

The square root of 330072 is about 574.5189291921. The cubic root of 330072 is about 69.1092576970.

The spelling of 330072 in words is "three hundred thirty thousand, seventy-two".