72785821268160 has 2016 divisors, whose sum is σ = 353575130247360. Its totient is φ = 13960789032960.

The previous prime is 72785821268087. The next prime is 72785821268179. The reversal of 72785821268160 is 6186212858727.

72785821268160 is a `hidden beast` number, since 7 + 27 + 8 + 582 + 1 + 26 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 665890632 + ... + 665999928.

It is an arithmetic number, because the mean of its divisors is an integer number (175384489210).

Almost surely, 2^{72785821268160} is an apocalyptic number.

72785821268160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72785821268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176787565123680).

72785821268160 is an abundant number, since it is smaller than the sum of its proper divisors (280789308979200).

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

72785821268160 is a wasteful number, since it uses less digits than its factorization.

72785821268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109372 (or 109338 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 72785821268160 in words is "seventy-two trillion, seven hundred eighty-five billion, eight hundred twenty-one million, two hundred sixty-eight thousand, one hundred sixty".