7288209 has 6 divisors (see below), whose sum is σ = 10527426. Its totient is φ = 4858800.

The previous prime is 7288181. The next prime is 7288213. The reversal of 7288209 is 9028827.

It can be written as a sum of positive squares in only one way, i.e., 7273809 + 14400 = 2697^2 + 120^2 .

It is not a de Polignac number, because 7288209 - 2⁸ = 7287953 is a prime.

7288209 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7288109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 404892 + ... + 404909.

It is an arithmetic number, because the mean of its divisors is an integer number (1754571).

Almost surely, 2^7288209 is an apocalyptic number.

It is an amenable number.

7288209 is a deficient number, since it is larger than the sum of its proper divisors (3239217).

7288209 is a wasteful number, since it uses less digits than its factorization.

7288209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809807 (or 809804 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7288209 is about 2699.6683129599. The cubic root of 7288209 is about 193.8832418207.

The spelling of 7288209 in words is "seven million, two hundred eighty-eight thousand, two hundred nine".