72788889600 has 624 divisors, whose sum is σ = 305680256640. Its totient is φ = 16633036800.

The previous prime is 72788889557. The next prime is 72788889617. The reversal of 72788889600 is 698888727.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19351720 + ... + 19355480.

Almost surely, 2^72788889600 is an apocalyptic number.

72788889600 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 72788889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152840128320).

72788889600 is an abundant number, since it is smaller than the sum of its proper divisors (232891367040).

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

72788889600 is a wasteful number, since it uses less digits than its factorization.

72788889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 72788889600 in words is "seventy-two billion, seven hundred eighty-eight million, eight hundred eighty-nine thousand, six hundred".