7242560 has 56 divisors (see below), whose sum is σ = 18583656. Its totient is φ = 2672640.

The previous prime is 7242551. The next prime is 7242569. The reversal of 7242560 is 652427.

It is an interprime number because it is at equal distance from previous prime (7242551) and next prime (7242569).

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 6801664 = 664^2 + 2608^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7242569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3290 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (331851).

Almost surely, 2^7242560 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 7242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291828).

7242560 is an abundant number, since it is smaller than the sum of its proper divisors (11341096).

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

7242560 is a wasteful number, since it uses less digits than its factorization.

7242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 7242560 is about 2691.2004756242. The cubic root of 7242560 is about 193.4776040333.

Adding to 7242560 its reverse (652427), we get a palindrome (7894987).

The spelling of 7242560 in words is "seven million, two hundred forty-two thousand, five hundred sixty".