72418980816 has 360 divisors, whose sum is σ = 268838433864. Its totient is φ = 17975623680.

The previous prime is 72418980793. The next prime is 72418980841. The reversal of 72418980816 is 61808981427.

72418980816 is a `hidden beast` number, since 72 + 418 + 9 + 80 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1558670400 + 70860310416 = 39480^2 + 266196^2 .

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 71 ways as a sum of consecutive naturals, for example, 1536156 + ... + 1582596.

Almost surely, 2^72418980816 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 72418980816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134419216932).

72418980816 is an abundant number, since it is smaller than the sum of its proper divisors (196419453048).

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

72418980816 is a wasteful number, since it uses less digits than its factorization.

72418980816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46499 (or 46483 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 72418980816 in words is "seventy-two billion, four hundred eighteen million, nine hundred eighty thousand, eight hundred sixteen".