7518 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 2136.

The previous prime is 7517. The next prime is 7523. The reversal of 7518 is 8157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 7494 and 7503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7517) 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, 48 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁷⁵¹⁸ is an apocalyptic number.

7518 is an abundant number, since it is smaller than the sum of its proper divisors (9762).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640).

7518 is a wasteful number, since it uses less digits than its factorization.

7518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 280, while the sum is 21.

The square root of 7518 is about 86.7064011478. The cubic root of 7518 is about 19.5899851655.

It can be divided in two parts, 7 and 518, that added together give a palindrome (525).

The spelling of 7518 in words is "seven thousand, five hundred eighteen".