72401063648 has 96 divisors (see below), whose sum is σ = 149339635200. Its totient is φ = 34516744704.

The previous prime is 72401063599. The next prime is 72401063653. The reversal of 72401063648 is 84636010427.

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 15 ways as a sum of consecutive naturals, for example, 25076861 + ... + 25079747.

It is an arithmetic number, because the mean of its divisors is an integer number (1555621200).

Almost surely, 2^72401063648 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 72401063648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74669817600).

72401063648 is an abundant number, since it is smaller than the sum of its proper divisors (76938571552).

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

72401063648 is a wasteful number, since it uses less digits than its factorization.

72401063648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 72401063648 in words is "seventy-two billion, four hundred one million, sixty-three thousand, six hundred forty-eight".