7260288 has 128 divisors (see below), whose sum is σ = 22945920. Its totient is φ = 1990656.

The previous prime is 7260287. The next prime is 7260301. The reversal of 7260288 is 8820627.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7260283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99420 + ... + 99492.

It is an arithmetic number, because the mean of its divisors is an integer number (179265).

Almost surely, 2^7260288 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 7260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472960).

7260288 is an abundant number, since it is smaller than the sum of its proper divisors (15685632).

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

7260288 is a wasteful number, since it uses less digits than its factorization.

7260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7260288 is about 2694.4921599441. The cubic root of 7260288 is about 193.6353372192.

The spelling of 7260288 in words is "seven million, two hundred sixty thousand, two hundred eighty-eight".