72911569120 has 192 divisors, whose sum is σ = 188963518464. Its totient is φ = 26423470080.

The previous prime is 72911569063. The next prime is 72911569147. The reversal of 72911569120 is 2196511927.

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 31 ways as a sum of consecutive naturals, for example, 28139025 + ... + 28141615.

It is an arithmetic number, because the mean of its divisors is an integer number (984184992).

Almost surely, 2^72911569120 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 72911569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94481759232).

72911569120 is an abundant number, since it is smaller than the sum of its proper divisors (116051949344).

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

72911569120 is a wasteful number, since it uses less digits than its factorization.

72911569120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 72911569120 in words is "seventy-two billion, nine hundred eleven million, five hundred sixty-nine thousand, one hundred twenty".