72639313920 has 384 divisors, whose sum is σ = 269460172800. Its totient is φ = 18526666752.

The previous prime is 72639313919. The next prime is 72639313927. The reversal of 72639313920 is 2931393627.

72639313920 is a `hidden beast` number, since 7 + 2 + 639 + 3 + 1 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72639313927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6353329 + ... + 6364751.

It is an arithmetic number, because the mean of its divisors is an integer number (701719200).

Almost surely, 2^72639313920 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 72639313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134730086400).

72639313920 is an abundant number, since it is smaller than the sum of its proper divisors (196820858880).

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

72639313920 is a wasteful number, since it uses less digits than its factorization.

72639313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11456 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 72639313920 in words is "seventy-two billion, six hundred thirty-nine million, three hundred thirteen thousand, nine hundred twenty".