7520 has 24 divisors (see below), whose sum is σ = 18144. Its totient is φ = 2944.

The previous prime is 7517. The next prime is 7523. The reversal of 7520 is 257.

It is an interprime number because it is at equal distance from previous prime (7517) and next prime (7523).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7495 and 7504.

It is a congruent number.

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, 137 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2⁷⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).

7520 is an abundant number, since it is smaller than the sum of its proper divisors (10624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7520 is a wasteful number, since it uses less digits than its factorization.

7520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 7520 is about 86.7179335547. The cubic root of 7520 is about 19.5917221743.

Adding to 7520 its reverse (257), we get a palindrome (7777).

The spelling of 7520 in words is "seven thousand, five hundred twenty".