7263360 has 192 divisors, whose sum is σ = 27289080. Its totient is φ = 1769472.

The previous prime is 7263353. The next prime is 7263367. The reversal of 7263360 is 633627.

It is an interprime number because it is at equal distance from previous prime (7263353) and next prime (7263367).

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 2903616 = 2088^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (7263367) 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, 74832 + ... + 74928.

Almost surely, 2^7263360 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 7263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644540).

7263360 is an abundant number, since it is smaller than the sum of its proper divisors (20025720).

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

7263360 is a wasteful number, since it uses less digits than its factorization.

7263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 7263360 is about 2695.0621514169. The cubic root of 7263360 is about 193.6626439357.

Adding to 7263360 its reverse (633627), we get a palindrome (7896987).

The spelling of 7263360 in words is "seven million, two hundred sixty-three thousand, three hundred sixty".