7530 has 16 divisors (see below), whose sum is σ = 18144. Its totient is φ = 2000.

The previous prime is 7529. The next prime is 7537. The reversal of 7530 is 357.

It is a super-3 number, since 3×7530³ = 1280873331000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (7537) 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, 96 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2⁷⁵³⁰ is an apocalyptic number.

7530 is an abundant number, since it is smaller than the sum of its proper divisors (10614).

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 (9072).

7530 is a wasteful number, since it uses less digits than its factorization.

7530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 7530 is about 86.7755725997. The cubic root of 7530 is about 19.6004026018.

Adding to 7530 its reverse (357), we get a palindrome (7887).

It can be divided in two parts, 75 and 30, that added together give a triangular number (105 = T₁₄).

The spelling of 7530 in words is "seven thousand, five hundred thirty".