72589817364480 has 960 divisors, whose sum is σ = 278717465107200. Its totient is φ = 17818441482240.

The previous prime is 72589817364443. The next prime is 72589817364487. The reversal of 72589817364480 is 8446371898527.

It is a happy number.

72589817364480 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 9 + 8 + 173 + 6 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72589817364399 and 72589817364408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72589817364487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10897732350 + ... + 10897739010.

It is an arithmetic number, because the mean of its divisors is an integer number (290330692820).

It is a 2-persistent number, because it is pandigital, and so is 2⋅72589817364480 = 145179634728960, but 3⋅72589817364480 = 217769452093440 is not.

Almost surely, 2^{72589817364480} 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 72589817364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139358732553600).

72589817364480 is an abundant number, since it is smaller than the sum of its proper divisors (206127647742720).

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

72589817364480 is a wasteful number, since it uses less digits than its factorization.

72589817364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 72589817364480 in words is "seventy-two trillion, five hundred eighty-nine billion, eight hundred seventeen million, three hundred sixty-four thousand, four hundred eighty".