7544 has 16 divisors (see below), whose sum is σ = 15120. Its totient is φ = 3520.

The previous prime is 7541. The next prime is 7547. The reversal of 7544 is 4457.

It is an interprime number because it is at equal distance from previous prime (7541) and next prime (7547).

Its product of digits (560) is a multiple of the sum of its prime factors (70).

It is a plaindrome in base 12 and base 15.

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 (7541) 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, 164 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2⁷⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

7544 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7544 is a wasteful number, since it uses less digits than its factorization.

7544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 7544 is about 86.8562030024. The cubic root of 7544 is about 19.6125422986.

The spelling of 7544 in words is "seven thousand, five hundred forty-four".