72384054624 has 672 divisors, whose sum is σ = 256662282240. Its totient is φ = 19651507200.

The previous prime is 72384054623. The next prime is 72384054629. The reversal of 72384054624 is 42645048327.

It is a happy number.

72384054624 is a `hidden beast` number, since 7 + 2 + 3 + 84 + 0 + 546 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 72384054624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384054623) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 399911814 + ... + 399911994.

It is an arithmetic number, because the mean of its divisors is an integer number (381937920).

Almost surely, 2^72384054624 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 72384054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128331141120).

72384054624 is an abundant number, since it is smaller than the sum of its proper divisors (184278227616).

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

72384054624 is a wasteful number, since it uses less digits than its factorization.

72384054624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 72384054624 in words is "seventy-two billion, three hundred eighty-four million, fifty-four thousand, six hundred twenty-four".