72800236800 has 324 divisors, whose sum is σ = 260819910624. Its totient is φ = 19372953600.

The previous prime is 72800236787. The next prime is 72800236811. The reversal of 72800236800 is 863200827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36344599 + ... + 36346601.

Almost surely, 2^72800236800 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 72800236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130409955312).

72800236800 is an abundant number, since it is smaller than the sum of its proper divisors (188019673824).

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

72800236800 is a wasteful number, since it uses less digits than its factorization.

72800236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72800236800 in words is "seventy-two billion, eight hundred million, two hundred thirty-six thousand, eight hundred".