7128306 has 36 divisors (see below), whose sum is σ = 16315182. Its totient is φ = 2248992.

The previous prime is 7128293. The next prime is 7128307. The reversal of 7128306 is 6038217.

It can be written as a sum of positive squares in only one way, i.e., 6579225 + 549081 = 2565^2 + 741^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7128306.

It is not an unprimeable number, because it can be changed into a prime (7128307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5950 + ... + 7046.

Almost surely, 2^7128306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157591).

7128306 is an abundant number, since it is smaller than the sum of its proper divisors (9186876).

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

7128306 is a wasteful number, since it uses less digits than its factorization.

7128306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7128306 is about 2669.8887617277. Note that the first 3 decimals coincide. The cubic root of 7128306 is about 192.4548137040.

The spelling of 7128306 in words is "seven million, one hundred twenty-eight thousand, three hundred six".