72843596280 has 768 divisors, whose sum is σ = 301095325440. Its totient is φ = 14863564800.

The previous prime is 72843596261. The next prime is 72843596311. The reversal of 72843596280 is 8269534827.

72843596280 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 3 + 5 + 9 + 628 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259229740 + ... + 259230020.

It is an arithmetic number, because the mean of its divisors is an integer number (392051205).

Almost surely, 2^72843596280 is an apocalyptic number.

72843596280 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 72843596280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150547662720).

72843596280 is an abundant number, since it is smaller than the sum of its proper divisors (228251729160).

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

72843596280 is a wasteful number, since it uses less digits than its factorization.

72843596280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 72843596280 in words is "seventy-two billion, eight hundred forty-three million, five hundred ninety-six thousand, two hundred eighty".