72264465040128 has 432 divisors, whose sum is σ = 210602871612000. Its totient is φ = 21958061260800.

The previous prime is 72264465040051. The next prime is 72264465040133. The reversal of 72264465040128 is 82104056446227.

72264465040128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877497898 + ... + 877580246.

It is an arithmetic number, because the mean of its divisors is an integer number (487506647250).

Almost surely, 2^{72264465040128} 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 72264465040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105301435806000).

72264465040128 is an abundant number, since it is smaller than the sum of its proper divisors (138338406571872).

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

72264465040128 is a wasteful number, since it uses less digits than its factorization.

72264465040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82500 (or 82455 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 72264465040128 in words is "seventy-two trillion, two hundred sixty-four billion, four hundred sixty-five million, forty thousand, one hundred twenty-eight".