9005506872 has 64 divisors (see below), whose sum is σ = 22962216960. Its totient is φ = 2942160000.

The previous prime is 9005506859. The next prime is 9005506891. The reversal of 9005506872 is 2786055009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460997 + ... + 1467147.

It is an arithmetic number, because the mean of its divisors is an integer number (358784640).

Almost surely, 2^9005506872 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 9005506872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481108480).

9005506872 is an abundant number, since it is smaller than the sum of its proper divisors (13956710088).

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

9005506872 is a wasteful number, since it uses less digits than its factorization.

9005506872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 9005506872 is about 94897.3491305210. The cubic root of 9005506872 is about 2080.5079867506.

The spelling of 9005506872 in words is "nine billion, five million, five hundred six thousand, eight hundred seventy-two".