7254 has 24 divisors (see below), whose sum is σ = 17472. Its totient is φ = 2160.

The previous prime is 7253. The next prime is 7283. The reversal of 7254 is 4527.

Added to its reverse (4527) it gives a triangular number (11781 = T₁₅₃).

It is a happy number.

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.

It is a plaindrome in base 15.

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 (7253) 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 11 ways as a sum of consecutive naturals, for example, 219 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

2⁷²⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736).

7254 is an abundant number, since it is smaller than the sum of its proper divisors (10218).

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

7254 is a wasteful number, since it uses less digits than its factorization.

7254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 49 counting only the distinct ones).

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

The square root of 7254 is about 85.1704173995. The cubic root of 7254 is about 19.3579419755.

Multiplying 7254 by its product of digits (280), we get a triangular number (2031120 = T₂₀₁₅).

Adding to 7254 its reverse (4527), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 725 and 4, that added together give a 6-th power (729 = 3⁶).

The spelling of 7254 in words is "seven thousand, two hundred fifty-four".