7253568 has 126 divisors (see below), whose sum is σ = 24279606. Its totient is φ = 2064384.

The previous prime is 7253539. The next prime is 7253581. The reversal of 7253568 is 8653527.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 28224 = 2688^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×7253568² = 105228497461248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28096 + ... + 28352.

Almost surely, 2^7253568 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 7253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139803).

7253568 is an abundant number, since it is smaller than the sum of its proper divisors (17026038).

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

7253568 is a wasteful number, since it uses less digits than its factorization.

7253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7253568 is about 2693.2448830361. The cubic root of 7253568 is about 193.5755769114.

The spelling of 7253568 in words is "seven million, two hundred fifty-three thousand, five hundred sixty-eight".