9705315072 has 72 divisors (see below), whose sum is σ = 26059111344. Its totient is φ = 3206447104.

The previous prime is 9705315047. The next prime is 9705315119. The reversal of 9705315072 is 2705135079.

It is a self number, because there is not a number n which added to its sum of digits gives 9705315072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30868 + ... + 142700.

It is an arithmetic number, because the mean of its divisors is an integer number (361932102).

Almost surely, 2^9705315072 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 9705315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029555672).

9705315072 is an abundant number, since it is smaller than the sum of its proper divisors (16353796272).

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

9705315072 is a wasteful number, since it uses less digits than its factorization.

9705315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111965 (or 111951 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 9705315072 is about 98515.5575125066. The cubic root of 9705315072 is about 2133.0606936304.

The spelling of 9705315072 in words is "nine billion, seven hundred five million, three hundred fifteen thousand, seventy-two".