330272 has 12 divisors (see below), whose sum is σ = 650286. Its totient is φ = 165120.

The previous prime is 330271. The next prime is 330287. The reversal of 330272 is 272033.

330272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 55696 = 524^2 + 236^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 330272.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330272.

It is not an unprimeable number, because it can be changed into a prime (330271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5129 + ... + 5192.

2³³⁰²⁷² is an apocalyptic number.

330272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330272 is a deficient number, since it is larger than the sum of its proper divisors (320014).

330272 is a wasteful number, since it uses less digits than its factorization.

330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 330272 is about 574.6929615021. The cubic root of 330272 is about 69.1232132994.

The spelling of 330272 in words is "three hundred thirty thousand, two hundred seventy-two".