327285972 has 144 divisors (see below), whose sum is σ = 974518272. Its totient is φ = 91653120.

The previous prime is 327285961. The next prime is 327285977. The reversal of 327285972 is 279582723.

327285972 is a `hidden beast` number, since 32 + 7 + 28 + 597 + 2 = 666.

It is a super-2 number, since 2×327285972² = 214232214935969568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327285977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245973 + ... + 247299.

It is an arithmetic number, because the mean of its divisors is an integer number (6767488).

Almost surely, 2^327285972 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 327285972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487259136).

327285972 is an abundant number, since it is smaller than the sum of its proper divisors (647232300).

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

327285972 is a wasteful number, since it uses less digits than its factorization.

327285972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1393 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 327285972 is about 18091.0467358857. The cubic root of 327285972 is about 689.1426528663.

The spelling of 327285972 in words is "three hundred twenty-seven million, two hundred eighty-five thousand, nine hundred seventy-two".