327872 has 28 divisors (see below), whose sum is σ = 670560. Its totient is φ = 158976.

The previous prime is 327871. The next prime is 327881. The reversal of 327872 is 278723.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (4704) is a multiple of the sum of its prime factors (168).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327872.

It is not an unprimeable number, because it can be changed into a prime (327871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2954 + ... + 3062.

2³²⁷⁸⁷² is an apocalyptic number.

327872 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 327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335280).

327872 is an abundant number, since it is smaller than the sum of its proper divisors (342688).

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

327872 is a wasteful number, since it uses less digits than its factorization.

327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 327872 is about 572.6010827793. The cubic root of 327872 is about 68.9553726688.

The spelling of 327872 in words is "three hundred twenty-seven thousand, eight hundred seventy-two".