72115405440 has 256 divisors, whose sum is σ = 248948380800. Its totient is φ = 17651220480.

The previous prime is 72115405409. The next prime is 72115405447. The reversal of 72115405440 is 4450451127.

It is not an unprimeable number, because it can be changed into a prime (72115405447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4459770 + ... + 4475910.

Almost surely, 2^72115405440 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 72115405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124474190400).

72115405440 is an abundant number, since it is smaller than the sum of its proper divisors (176832975360).

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

72115405440 is a wasteful number, since it uses less digits than its factorization.

72115405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16355 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

Adding to 72115405440 its reverse (4450451127), we get a palindrome (76565856567).

The spelling of 72115405440 in words is "seventy-two billion, one hundred fifteen million, four hundred five thousand, four hundred forty".