72499568064 has 672 divisors, whose sum is σ = 253426618368. Its totient is φ = 17882726400.

The previous prime is 72499567937. The next prime is 72499568077. The reversal of 72499568064 is 46086599427.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 72499567989 and 72499568007.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 368018014 + ... + 368018210.

It is an arithmetic number, because the mean of its divisors is an integer number (377122944).

Almost surely, 2^72499568064 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 72499568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126713309184).

72499568064 is an abundant number, since it is smaller than the sum of its proper divisors (180927050304).

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

72499568064 is a wasteful number, since it uses less digits than its factorization.

72499568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 72499568064 in words is "seventy-two billion, four hundred ninety-nine million, five hundred sixty-eight thousand, sixty-four".