7542 has 12 divisors (see below), whose sum is σ = 16380. Its totient is φ = 2508.

The previous prime is 7541. The next prime is 7547. The reversal of 7542 is 2457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 419 = 7542 / (7 + 5 + 4 + 2).

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7542.

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 5 ways as a sum of consecutive naturals, for example, 192 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2⁷⁵⁴² is an apocalyptic number.

7542 is an abundant number, since it is smaller than the sum of its proper divisors (8838).

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

7542 is a wasteful number, since it uses less digits than its factorization.

7542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 424 counting only the distinct ones).

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

The square root of 7542 is about 86.8446889568. The cubic root of 7542 is about 19.6108089762.

Adding to 7542 its reverse (2457), we get a palindrome (9999).

The spelling of 7542 in words is "seven thousand, five hundred forty-two".