72807168336 has 320 divisors, whose sum is σ = 234787258368. Its totient is φ = 18968592384.

The previous prime is 72807168331. The next prime is 72807168337. The reversal of 72807168336 is 63386170827.

It is a super-2 number, since 2×72807168336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72807168331) 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 63 ways as a sum of consecutive naturals, for example, 27650476 + ... + 27653108.

Almost surely, 2^72807168336 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 72807168336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117393629184).

72807168336 is an abundant number, since it is smaller than the sum of its proper divisors (161980090032).

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

72807168336 is a wasteful number, since it uses less digits than its factorization.

72807168336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 72807168336 in words is "seventy-two billion, eight hundred seven million, one hundred sixty-eight thousand, three hundred thirty-six".