73542 has 32 divisors (see below), whose sum is σ = 179712. Its totient is φ = 19584.

The previous prime is 73529. The next prime is 73547. The reversal of 73542 is 24537.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

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 73542.

It is not an unprimeable number, because it can be changed into a prime (73547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2⁷³⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856).

73542 is an abundant number, since it is smaller than the sum of its proper divisors (106170).

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

73542 is a wasteful number, since it uses less digits than its factorization.

73542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 840, while the sum is 21.

The square root of 73542 is about 271.1862828389. The cubic root of 73542 is about 41.8965709017.

It can be divided in two parts, 735 and 42, that added together give a palindrome (777).

The spelling of 73542 in words is "seventy-three thousand, five hundred forty-two".