7575 has 12 divisors (see below), whose sum is σ = 12648. Its totient is φ = 4000.

The previous prime is 7573. The next prime is 7577. The reversal of 7575 is 5757.

It is an interprime number because it is at equal distance from previous prime (7573) and next prime (7577).

It is not a de Polignac number, because 7575 - 2¹ = 7573 is a prime.

7575 is an undulating number in base 10.

7575 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7573) 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, 25 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (1054).

2⁷⁵⁷⁵ is an apocalyptic number.

7575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7575 is a deficient number, since it is larger than the sum of its proper divisors (5073).

7575 is a wasteful number, since it uses less digits than its factorization.

7575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 1225, while the sum is 24.

The square root of 7575 is about 87.0344759276. The cubic root of 7575 is about 19.6393697075.

The spelling of 7575 in words is "seven thousand, five hundred seventy-five".