72741392380800 has 2304 divisors, whose sum is σ = 316479369024000. Its totient is φ = 15665268326400.

The previous prime is 72741392380799. The next prime is 72741392380823. The reversal of 72741392380800 is 808329314727.

72741392380800 is a `hidden beast` number, since 7 + 274 + 139 + 238 + 0 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45265333597 + ... + 45265335203.

It is an arithmetic number, because the mean of its divisors is an integer number (137360837250).

Almost surely, 2^{72741392380800} 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 72741392380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158239684512000).

72741392380800 is an abundant number, since it is smaller than the sum of its proper divisors (243737976643200).

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

72741392380800 is a wasteful number, since it uses less digits than its factorization.

72741392380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72741392380800 in words is "seventy-two trillion, seven hundred forty-one billion, three hundred ninety-two million, three hundred eighty thousand, eight hundred".