333672 has 16 divisors (see below), whose sum is σ = 834240. Its totient is φ = 111216.

The previous prime is 333667. The next prime is 333673. The reversal of 333672 is 276333.

It is a super-2 number, since 2×333672² = 222674007168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13903 = 333672 / (3 + 3 + 3 + 6 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (333673) by changing a digit.

333672 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 3 ways as a sum of consecutive naturals, for example, 6928 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (52140).

2³³³⁶⁷² is an apocalyptic number.

It is an amenable number.

333672 is an abundant number, since it is smaller than the sum of its proper divisors (500568).

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

333672 is a wasteful number, since it uses less digits than its factorization.

333672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13908 counting only the distinct ones).

The product of its digits is 2268, while the sum is 24.

The square root of 333672 is about 577.6434886675. The cubic root of 333672 is about 69.3596013222.

The spelling of 333672 in words is "three hundred thirty-three thousand, six hundred seventy-two".