7515 has 12 divisors (see below), whose sum is σ = 13104. Its totient is φ = 3984.

The previous prime is 7507. The next prime is 7517. The reversal of 7515 is 5157.

It is a happy number.

It is not a de Polignac number, because 7515 - 2³ = 7507 is a prime.

Its product of digits (175) is a multiple of the sum of its prime divisors (175).

It is a nialpdrome in base 6.

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 11 ways as a sum of consecutive naturals, for example, 39 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2⁷⁵¹⁵ is an apocalyptic number.

7515 is a deficient number, since it is larger than the sum of its proper divisors (5589).

7515 is a wasteful number, since it uses less digits than its factorization.

7515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 175 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 7515 is about 86.6890996608. The cubic root of 7515 is about 19.5873790746.

The spelling of 7515 in words is "seven thousand, five hundred fifteen".