72730112436 has 192 divisors, whose sum is σ = 201827324160. Its totient is φ = 22570168320.

The previous prime is 72730112431. The next prime is 72730112437. The reversal of 72730112436 is 63421103727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72730112436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730112431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76316536 + ... + 76317488.

It is an arithmetic number, because the mean of its divisors is an integer number (1051183980).

Almost surely, 2^72730112436 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 72730112436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100913662080).

72730112436 is an abundant number, since it is smaller than the sum of its proper divisors (129097211724).

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

72730112436 is a wasteful number, since it uses less digits than its factorization.

72730112436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 72730112436 in words is "seventy-two billion, seven hundred thirty million, one hundred twelve thousand, four hundred thirty-six".