7506 has 16 divisors (see below), whose sum is σ = 16800. Its totient is φ = 2484.

The previous prime is 7499. The next prime is 7507. The reversal of 7506 is 6057.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 6.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7507) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

2⁷⁵⁰⁶ is an apocalyptic number.

7506 is an abundant number, since it is smaller than the sum of its proper divisors (9294).

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 (8400).

7506 is a wasteful number, since it uses less digits than its factorization.

7506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 7506 is about 86.6371744692. The cubic root of 7506 is about 19.5795566380.

The spelling of 7506 in words is "seven thousand, five hundred six".