72909409536 has 216 divisors, whose sum is σ = 225038268000. Its totient is φ = 22632984576.

The previous prime is 72909409471. The next prime is 72909409537. The reversal of 72909409536 is 63590490927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72909409537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2568670 + ... + 2596898.

Almost surely, 2^72909409536 is an apocalyptic number.

72909409536 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72909409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112519134000).

72909409536 is an abundant number, since it is smaller than the sum of its proper divisors (152128858464).

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

72909409536 is a wasteful number, since it uses less digits than its factorization.

72909409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329 (or 28312 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 72909409536 in words is "seventy-two billion, nine hundred nine million, four hundred nine thousand, five hundred thirty-six".