72889728912 has 1440 divisors, whose sum is σ = 300085793280. Its totient is φ = 16202833920.

The previous prime is 72889728911. The next prime is 72889728917. The reversal of 72889728912 is 21982798827.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72889728912.

It is not an unprimeable number, because it can be changed into a prime (72889728911) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1375277878 + ... + 1375277930.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^72889728912 is an apocalyptic number.

72889728912 is a gapful number since it is divisible by the number (72) 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 72889728912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042896640).

72889728912 is an abundant number, since it is smaller than the sum of its proper divisors (227196064368).

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

72889728912 is a wasteful number, since it uses less digits than its factorization.

72889728912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 72889728912 in words is "seventy-two billion, eight hundred eighty-nine million, seven hundred twenty-eight thousand, nine hundred twelve".