72843850506240 has 3584 divisors, whose sum is σ = 313328602460160. Its totient is φ = 15986589696000.

The previous prime is 72843850506227. The next prime is 72843850506277. The reversal of 72843850506240 is 4260505834827.

72843850506240 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 3 + 8 + 5 + 0 + 5 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1025969725405 + ... + 1025969725475.

It is an arithmetic number, because the mean of its divisors is an integer number (87424275240).

Almost surely, 2^{72843850506240} 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 72843850506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156664301230080).

72843850506240 is an abundant number, since it is smaller than the sum of its proper divisors (240484751953920).

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

72843850506240 is a wasteful number, since it uses less digits than its factorization.

72843850506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 72843850506240 in words is "seventy-two trillion, eight hundred forty-three billion, eight hundred fifty million, five hundred six thousand, two hundred forty".