7526 has 8 divisors (see below), whose sum is σ = 11664. Its totient is φ = 3640.

The previous prime is 7523. The next prime is 7529. The reversal of 7526 is 6257.

It is an interprime number because it is at equal distance from previous prime (7523) and next prime (7529).

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

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 7498 and 7507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7526.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1458).

2⁷⁵²⁶ is an apocalyptic number.

7526 is the 71-st pentagonal number.

7526 is a deficient number, since it is larger than the sum of its proper divisors (4138).

7526 is a wasteful number, since it uses less digits than its factorization.

7526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 420, while the sum is 20.

The square root of 7526 is about 86.7525215772. The cubic root of 7526 is about 19.5969313535.

It can be divided in two parts, 75 and 26, that added together give a palindrome (101).

The spelling of 7526 in words is "seven thousand, five hundred twenty-six".