7262208 has 78 divisors (see below), whose sum is σ = 21083634. Its totient is φ = 2408448.

The previous prime is 7262201. The next prime is 7262243. The reversal of 7262208 is 8022627.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 36864 = 2688^2 + 192^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7262201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36766 + ... + 36962.

It is an arithmetic number, because the mean of its divisors is an integer number (270303).

Almost surely, 2^7262208 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 7262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541817).

7262208 is an abundant number, since it is smaller than the sum of its proper divisors (13821426).

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

7262208 is a wasteful number, since it uses less digits than its factorization.

7262208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7262208 is about 2694.8484187427. The cubic root of 7262208 is about 193.6524048195.

The spelling of 7262208 in words is "seven million, two hundred sixty-two thousand, two hundred eight".