327120672 has 48 divisors (see below), whose sum is σ = 869581440. Its totient is φ = 107657472.

The previous prime is 327120671. The next prime is 327120713. The reversal of 327120672 is 276021723.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (327120671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13983 + ... + 29150.

It is an arithmetic number, because the mean of its divisors is an integer number (18116280).

Almost surely, 2^327120672 is an apocalyptic number.

327120672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

327120672 is an abundant number, since it is smaller than the sum of its proper divisors (542460768).

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

327120672 is a wasteful number, since it uses less digits than its factorization.

327120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43225 (or 43217 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 327120672 is about 18086.4776006828. The cubic root of 327120672 is about 689.0266132009.

The spelling of 327120672 in words is "three hundred twenty-seven million, one hundred twenty thousand, six hundred seventy-two".