72881337600 has 864 divisors, whose sum is σ = 279328788480. Its totient is φ = 18811699200.

The previous prime is 72881337593. The next prime is 72881337611. The reversal of 72881337600 is 673318827.

72881337600 is a `hidden beast` number, since 7 + 2 + 8 + 8 + 1 + 3 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 573868737 + ... + 573868863.

Almost surely, 2^72881337600 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 72881337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664394240).

72881337600 is an abundant number, since it is smaller than the sum of its proper divisors (206447450880).

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

72881337600 is an equidigital number, since it uses as much as digits as its factorization.

72881337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72881337600 in words is "seventy-two billion, eight hundred eighty-one million, three hundred thirty-seven thousand, six hundred".