332672 has 32 divisors (see below), whose sum is σ = 697680. Its totient is φ = 157696.

The previous prime is 332641. The next prime is 332687. The reversal of 332672 is 276233.

332672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×332672² = 221341319168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

332672 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, 2888 + ... + 3000.

2³³²⁶⁷² is an apocalyptic number.

332672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840).

332672 is an abundant number, since it is smaller than the sum of its proper divisors (365008).

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

332672 is a wasteful number, since it uses less digits than its factorization.

332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 332672 is about 576.7772533656. Note that the first 3 decimals coincide. The cubic root of 332672 is about 69.2902427843.

The spelling of 332672 in words is "three hundred thirty-two thousand, six hundred seventy-two".