72800368000 has 256 divisors, whose sum is σ = 186514099200. Its totient is φ = 28244736000.

The previous prime is 72800367989. The next prime is 72800368021. The reversal of 72800368000 is 86300827.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98511631 + ... + 98512369.

It is an arithmetic number, because the mean of its divisors is an integer number (728570700).

Almost surely, 2^72800368000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72800368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93257049600).

72800368000 is an abundant number, since it is smaller than the sum of its proper divisors (113713731200).

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

72800368000 is a wasteful number, since it uses less digits than its factorization.

72800368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 72800368000 its reverse (86300827), we get a palindrome (72886668827).

The spelling of 72800368000 in words is "seventy-two billion, eight hundred million, three hundred sixty-eight thousand".