327672 has 64 divisors (see below), whose sum is σ = 957600. Its totient is φ = 103680.

The previous prime is 327667. The next prime is 327673. The reversal of 327672 is 276723.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7972 + ... + 8012.

2³²⁷⁶⁷² 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 327672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

327672 is an abundant number, since it is smaller than the sum of its proper divisors (629928).

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

327672 is a wasteful number, since it uses less digits than its factorization.

327672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 327672 is about 572.4264144849. The cubic root of 327672 is about 68.9413490258.

Subtracting from 327672 its sum of digits (27), we obtain a triangular number (327645 = T₈₀₉).

It can be divided in two parts, 327 and 672, that added together give a palindrome (999).

The spelling of 327672 in words is "three hundred twenty-seven thousand, six hundred seventy-two".