72710703234000 has 480 divisors, whose sum is σ = 275017222771200. Its totient is φ = 17798020070400.

The previous prime is 72710703233989. The next prime is 72710703234061. The reversal of 72710703234000 is 43230701727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 41018041 + ... + 42753959.

It is an arithmetic number, because the mean of its divisors is an integer number (572952547440).

Almost surely, 2^{72710703234000} 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 72710703234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137508611385600).

72710703234000 is an abundant number, since it is smaller than the sum of its proper divisors (202306519537200).

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

72710703234000 is a wasteful number, since it uses less digits than its factorization.

72710703234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736140 (or 1736121 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

Adding to 72710703234000 its reverse (43230701727), we get a palindrome (72753933935727).

The spelling of 72710703234000 in words is "seventy-two trillion, seven hundred ten billion, seven hundred three million, two hundred thirty-four thousand".