72728202280500 has 576 divisors, whose sum is σ = 257009094800640. Its totient is φ = 17848112832000.

The previous prime is 72728202280477. The next prime is 72728202280529. The reversal of 72728202280500 is 508220282727.

72728202280500 is a `hidden beast` number, since 7 + 2 + 7 + 28 + 20 + 22 + 80 + 500 = 666.

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 191 ways as a sum of consecutive naturals, for example, 522744946 + ... + 522884054.

It is an arithmetic number, because the mean of its divisors is an integer number (446196345140).

Almost surely, 2^{72728202280500} 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 72728202280500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128504547400320).

72728202280500 is an abundant number, since it is smaller than the sum of its proper divisors (184280892520140).

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

72728202280500 is a wasteful number, since it uses less digits than its factorization.

72728202280500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139487 (or 139463 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 72728202280500 in words is "seventy-two trillion, seven hundred twenty-eight billion, two hundred two million, two hundred eighty thousand, five hundred".