7505 has 8 divisors (see below), whose sum is σ = 9600. Its totient is φ = 5616.

The previous prime is 7499. The next prime is 7507. The reversal of 7505 is 5057.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7505 - 2⁴ = 7489 is a prime.

It is a plaindrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (7507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

7505 is a deficient number, since it is larger than the sum of its proper divisors (2095).

7505 is a wasteful number, since it uses less digits than its factorization.

7505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 7505 is about 86.6314030823. The cubic root of 7505 is about 19.5786870925.

It can be divided in two parts, 7 and 505, that added together give a 9-th power (512 = 2⁹).

The spelling of 7505 in words is "seven thousand, five hundred five".