7452 has 30 divisors (see below), whose sum is σ = 20328. Its totient is φ = 2376.

The previous prime is 7451. The next prime is 7457. The reversal of 7452 is 2547.

It is a happy number.

7452 is nontrivially palindromic in base 11.

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

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

Its product of digits (280) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7451) 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 9 ways as a sum of consecutive naturals, for example, 313 + ... + 335.

2⁷⁴⁵² 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 7452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164).

7452 is an abundant number, since it is smaller than the sum of its proper divisors (12876).

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

7452 is a wasteful number, since it uses less digits than its factorization.

7452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 7452 is about 86.3249674196. The cubic root of 7452 is about 19.5324902146.

7452 divided by its sum of digits (18) gives a palindrome (414).

Adding to 7452 its reverse (2547), we get a palindrome (9999).

It can be divided in two parts, 745 and 2, that added together give a palindrome (747).

The spelling of 7452 in words is "seven thousand, four hundred fifty-two".