333072 has 50 divisors (see below), whose sum is σ = 967758. Its totient is φ = 110592.

The previous prime is 333071. The next prime is 333097. The reversal of 333072 is 270333.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 1296 = 576^2 + 36^2 .

It is a super-2 number, since 2×333072² = 221873914368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1168 + ... + 1424.

2³³³⁰⁷² 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 333072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483879).

333072 is an abundant number, since it is smaller than the sum of its proper divisors (634686).

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

333072 is a wasteful number, since it uses less digits than its factorization.

333072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 333072 is about 577.1239035077. The cubic root of 333072 is about 69.3180028564.

The spelling of 333072 in words is "three hundred thirty-three thousand, seventy-two".