72777225600 has 768 divisors, whose sum is σ = 283578278400. Its totient is φ = 18186854400.

The previous prime is 72777225557. The next prime is 72777225611. The reversal of 72777225600 is 652277727.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105321255 + ... + 105321945.

It is an arithmetic number, because the mean of its divisors is an integer number (369242550).

Almost surely, 2^72777225600 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 72777225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141789139200).

72777225600 is an abundant number, since it is smaller than the sum of its proper divisors (210801052800).

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

72777225600 is a wasteful number, since it uses less digits than its factorization.

72777225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 72777225600 in words is "seventy-two billion, seven hundred seventy-seven million, two hundred twenty-five thousand, six hundred".