7512 has 16 divisors (see below), whose sum is σ = 18840. Its totient is φ = 2496.

The previous prime is 7507. The next prime is 7517. The reversal of 7512 is 2157.

It is a happy number.

7512 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (7507) and next prime (7517).

It is a plaindrome in base 9, base 13 and base 15.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 7491 and 7500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7517) by changing a digit.

7512 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 in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 180.

It is an amenable number.

7512 is an abundant number, since it is smaller than the sum of its proper divisors (11328).

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 (9420).

7512 is a wasteful number, since it uses less digits than its factorization.

7512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 7512 is about 86.6717947201. The cubic root of 7512 is about 19.5847722900.

Adding to 7512 its reverse (2157), we get a palindrome (9669).

It can be divided in two parts, 75 and 12, that multiplied together give a square (900 = 30²).

The spelling of 7512 in words is "seven thousand, five hundred twelve".