72384648327 has 16 divisors (see below), whose sum is σ = 112880544000. Its totient is φ = 45716619672.

The previous prime is 72384648299. The next prime is 72384648331.

It is a happy number.

72384648327 is a `hidden beast` number, since 7 + 238 + 46 + 48 + 327 = 666.

72384648327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72384648327 - 2¹² = 72384644231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384648337) 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 15 ways as a sum of consecutive naturals, for example, 70549827 + ... + 70550852.

It is an arithmetic number, because the mean of its divisors is an integer number (7055034000).

Almost surely, 2^72384648327 is an apocalyptic number.

72384648327 is a deficient number, since it is larger than the sum of its proper divisors (40495895673).

72384648327 is a wasteful number, since it uses less digits than its factorization.

72384648327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141100707 (or 141100701 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 72384648327 in words is "seventy-two billion, three hundred eighty-four million, six hundred forty-eight thousand, three hundred twenty-seven".