327105672 has 64 divisors (see below), whose sum is σ = 864307200. Its totient is φ = 102876480.

The previous prime is 327105659. The next prime is 327105679. The reversal of 327105672 is 276501723.

It is not an unprimeable number, because it can be changed into a prime (327105679) 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, 122253 + ... + 124899.

It is an arithmetic number, because the mean of its divisors is an integer number (13504800).

Almost surely, 2^327105672 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 327105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432153600).

327105672 is an abundant number, since it is smaller than the sum of its proper divisors (537201528).

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

327105672 is a wasteful number, since it uses less digits than its factorization.

327105672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 327105672 is about 18086.0629214874. The cubic root of 327105672 is about 689.0160813513.

The spelling of 327105672 in words is "three hundred twenty-seven million, one hundred five thousand, six hundred seventy-two".