72807882336 has 288 divisors, whose sum is σ = 254798369280. Its totient is φ = 19246215168.

The previous prime is 72807882331. The next prime is 72807882347. The reversal of 72807882336 is 63328870827.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72807882331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004045 + ... + 2040051.

It is an arithmetic number, because the mean of its divisors is an integer number (884716560).

Almost surely, 2^72807882336 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 72807882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127399184640).

72807882336 is an abundant number, since it is smaller than the sum of its proper divisors (181990486944).

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

72807882336 is a wasteful number, since it uses less digits than its factorization.

72807882336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36106 (or 36095 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 72807882336 in words is "seventy-two billion, eight hundred seven million, eight hundred eighty-two thousand, three hundred thirty-six".