72851788800 has 1188 divisors, whose sum is σ = 315985400640. Its totient is φ = 16582164480.

The previous prime is 72851788783. The next prime is 72851788829. The reversal of 72851788800 is 888715827.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304819081 + ... + 304819319.

Almost surely, 2^72851788800 is an apocalyptic number.

72851788800 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 72851788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992700320).

72851788800 is an abundant number, since it is smaller than the sum of its proper divisors (243133611840).

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

72851788800 is a wasteful number, since it uses less digits than its factorization.

72851788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 72851788800 in words is "seventy-two billion, eight hundred fifty-one million, seven hundred eighty-eight thousand, eight hundred".