72580324240 has 80 divisors (see below), whose sum is σ = 172964429568. Its totient is φ = 28313512448.

The previous prime is 72580324237. The next prime is 72580324247. The reversal of 72580324240 is 4242308527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 72580324240.

It is not an unprimeable number, because it can be changed into a prime (72580324247) 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 15 ways as a sum of consecutive naturals, for example, 656829 + ... + 759331.

Almost surely, 2^72580324240 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 72580324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86482214784).

72580324240 is an abundant number, since it is smaller than the sum of its proper divisors (100384105328).

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

72580324240 is a wasteful number, since it uses less digits than its factorization.

72580324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102736 (or 102730 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 72580324240 in words is "seventy-two billion, five hundred eighty million, three hundred twenty-four thousand, two hundred forty".