72778985200 has 480 divisors, whose sum is σ = 196124447232. Its totient is φ = 25878528000.

The previous prime is 72778985143. The next prime is 72778985239. The reversal of 72778985200 is 258987727.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996972364 + ... + 996972436.

Almost surely, 2^72778985200 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 72778985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98062223616).

72778985200 is an abundant number, since it is smaller than the sum of its proper divisors (123345462032).

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

72778985200 is a wasteful number, since it uses less digits than its factorization.

72778985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 72778985200 in words is "seventy-two billion, seven hundred seventy-eight million, nine hundred eighty-five thousand, two hundred".