72065036712768 has 336 divisors, whose sum is σ = 212404806055680. Its totient is φ = 21544174080000.

The previous prime is 72065036712763. The next prime is 72065036712859. The reversal of 72065036712768 is 86721763056027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065036712763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2387746638 + ... + 2387776818.

It is an arithmetic number, because the mean of its divisors is an integer number (632157160880).

Almost surely, 2^{72065036712768} 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 72065036712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106202403027840).

72065036712768 is an abundant number, since it is smaller than the sum of its proper divisors (140339769342912).

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

72065036712768 is a wasteful number, since it uses less digits than its factorization.

72065036712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31598 (or 31577 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 72065036712768 in words is "seventy-two trillion, sixty-five billion, thirty-six million, seven hundred twelve thousand, seven hundred sixty-eight".