8945136072 has 128 divisors (see below), whose sum is σ = 26067744000. Its totient is φ = 2838205440.

The previous prime is 8945136071. The next prime is 8945136119. The reversal of 8945136072 is 2706315498.

8945136072 is a `hidden beast` number, since 8 + 9 + 4 + 513 + 60 + 72 = 666.

8945136072 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

8945136072 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (8945136071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434688 + ... + 454800.

It is an arithmetic number, because the mean of its divisors is an integer number (203654250).

It is a 1-persistent number, because it is pandigital, but 2⋅8945136072 = 17890272144 is not.

Almost surely, 2^8945136072 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 8945136072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033872000).

8945136072 is an abundant number, since it is smaller than the sum of its proper divisors (17122607928).

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

8945136072 is a wasteful number, since it uses less digits than its factorization.

8945136072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8945136072 is about 94578.7294903035. The cubic root of 8945136072 is about 2075.8484803711.

The spelling of 8945136072 in words is "eight billion, nine hundred forty-five million, one hundred thirty-six thousand, seventy-two".