72828362880 has 1152 divisors, whose sum is σ = 329126353920. Its totient is φ = 14680866816.

The previous prime is 72828362863. The next prime is 72828362881. The reversal of 72828362880 is 8826382827.

It is a happy number.

72828362880 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 8 + 3 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (72828362881) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 84389329 + ... + 84390191.

It is an arithmetic number, because the mean of its divisors is an integer number (285699960).

Almost surely, 2^72828362880 is an apocalyptic number.

72828362880 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 72828362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164563176960).

72828362880 is an abundant number, since it is smaller than the sum of its proper divisors (256297991040).

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

72828362880 is a wasteful number, since it uses less digits than its factorization.

72828362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 72828362880 in words is "seventy-two billion, eight hundred twenty-eight million, three hundred sixty-two thousand, eight hundred eighty".