2305168272 has 120 divisors (see below), whose sum is σ = 7085707200. Its totient is φ = 693776640.

The previous prime is 2305168267. The next prime is 2305168279. The reversal of 2305168272 is 2728615032.

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

It is not an unprimeable number, because it can be changed into a prime (2305168279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231133 + ... + 240899.

It is an arithmetic number, because the mean of its divisors is an integer number (59047560).

Almost surely, 2^2305168272 is an apocalyptic number.

2305168272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542853600).

2305168272 is an abundant number, since it is smaller than the sum of its proper divisors (4780538928).

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

2305168272 is a wasteful number, since it uses less digits than its factorization.

2305168272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2305168272 is about 48012.1679577167. The cubic root of 2305168272 is about 1320.9940996347.

The spelling of 2305168272 in words is "two billion, three hundred five million, one hundred sixty-eight thousand, two hundred seventy-two".