327072144672 has 576 divisors, whose sum is σ = 1211506732800. Its totient is φ = 86251640832.

The previous prime is 327072144617. The next prime is 327072144689. The reversal of 327072144672 is 276441270723.

327072144672 is a `hidden beast` number, since 3 + 2 + 70 + 72 + 1 + 446 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34668468 + ... + 34677900.

It is an arithmetic number, because the mean of its divisors is an integer number (2103310300).

Almost surely, 2^327072144672 is an apocalyptic number.

327072144672 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 327072144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605753366400).

327072144672 is an abundant number, since it is smaller than the sum of its proper divisors (884434588128).

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

327072144672 is an equidigital number, since it uses as much as digits as its factorization.

327072144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 327072144672 in words is "three hundred twenty-seven billion, seventy-two million, one hundred forty-four thousand, six hundred seventy-two".