7252 has 18 divisors (see below), whose sum is σ = 15162. Its totient is φ = 3024.

The previous prime is 7247. The next prime is 7253. The reversal of 7252 is 2527.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 196 = 84^2 + 14^2 .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178 + ... + 214.

2⁷²⁵² 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 7252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581).

7252 is an abundant number, since it is smaller than the sum of its proper divisors (7910).

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

7252 is a wasteful number, since it uses less digits than its factorization.

7252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its digits is 140, while the sum is 16.

The square root of 7252 is about 85.1586754242. The cubic root of 7252 is about 19.3561627529.

Adding to 7252 its reverse (2527), we get a palindrome (9779).

It can be divided in two parts, 725 and 2, that added together give a palindrome (727).

The spelling of 7252 in words is "seven thousand, two hundred fifty-two".