330672 has 30 divisors (see below), whose sum is σ = 864652. Its totient is φ = 108896.

The previous prime is 330661. The next prime is 330679. The reversal of 330672 is 276033.

330672 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330672.

It is not an unprimeable number, because it can be changed into a prime (330679) by changing a digit.

330672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3943 + ... + 4025.

2³³⁰⁶⁷² 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 330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432326).

330672 is an abundant number, since it is smaller than the sum of its proper divisors (533980).

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

330672 is an equidigital number, since it uses as much as digits as its factorization.

330672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 330672 is about 575.0408681129. The cubic root of 330672 is about 69.1511076114.

The spelling of 330672 in words is "three hundred thirty thousand, six hundred seventy-two".