7528 has 8 divisors (see below), whose sum is σ = 14130. Its totient is φ = 3760.

The previous prime is 7523. The next prime is 7529. The reversal of 7528 is 8257.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 1444 = 78^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7499 and 7508.

It is not an unprimeable number, because it can be changed into a prime (7523) by changing a digit.

7528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 463 + ... + 478.

2⁷⁵²⁸ is an apocalyptic number.

It is an amenable number.

7528 is a deficient number, since it is larger than the sum of its proper divisors (6602).

7528 is a wasteful number, since it uses less digits than its factorization.

7528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its digits is 560, while the sum is 22.

The square root of 7528 is about 86.7640478539. The cubic root of 7528 is about 19.5986671314.

Subtracting 7528 from its reverse (8257), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 7 and 528, that added together give a palindrome (535).

The spelling of 7528 in words is "seven thousand, five hundred twenty-eight".