72505230336 has 528 divisors, whose sum is σ = 264376240128. Its totient is φ = 18590515200.

The previous prime is 72505230319. The next prime is 72505230341. The reversal of 72505230336 is 63303250527.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72505230336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58898841 + ... + 58900071.

It is an arithmetic number, because the mean of its divisors is an integer number (500712576).

Almost surely, 2^72505230336 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 72505230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132188120064).

72505230336 is an abundant number, since it is smaller than the sum of its proper divisors (191871009792).

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

72505230336 is a wasteful number, since it uses less digits than its factorization.

72505230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 72505230336 in words is "seventy-two billion, five hundred five million, two hundred thirty thousand, three hundred thirty-six".