7552 has 16 divisors (see below), whose sum is σ = 15300. Its totient is φ = 3712.

The previous prime is 7549. The next prime is 7559. The reversal of 7552 is 2557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99 + ... + 157.

2⁷⁵⁵² 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 7552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650).

7552 is an abundant number, since it is smaller than the sum of its proper divisors (7748).

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

7552 is an equidigital number, since it uses as much as digits as its factorization.

7552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its digits is 350, while the sum is 19.

The square root of 7552 is about 86.9022439296. The cubic root of 7552 is about 19.6194725261.

It can be divided in two parts, 755 and 2, that added together give a palindrome (757).

The spelling of 7552 in words is "seven thousand, five hundred fifty-two".