72644117713320 has 256 divisors, whose sum is σ = 224001950515200. Its totient is φ = 18839031045120.

The previous prime is 72644117713231. The next prime is 72644117713327. The reversal of 72644117713320 is 2331771144627.

It is a self number, because there is not a number n which added to its sum of digits gives 72644117713320.

It is not an unprimeable number, because it can be changed into a prime (72644117713327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 715633689 + ... + 715735191.

It is an arithmetic number, because the mean of its divisors is an integer number (875007619200).

Almost surely, 2^{72644117713320} 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 72644117713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112000975257600).

72644117713320 is an abundant number, since it is smaller than the sum of its proper divisors (151357832801880).

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

72644117713320 is a wasteful number, since it uses less digits than its factorization.

72644117713320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102560 (or 102556 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

Adding to 72644117713320 its reverse (2331771144627), we get a palindrome (74975888857947).

The spelling of 72644117713320 in words is "seventy-two trillion, six hundred forty-four billion, one hundred seventeen million, seven hundred thirteen thousand, three hundred twenty".