74538 has 24 divisors (see below), whose sum is σ = 167076. Its totient is φ = 24000.

The previous prime is 74531. The next prime is 74551. The reversal of 74538 is 83547.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 9 = 273^2 + 3^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (74531) 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, 688 + ... + 788.

2⁷⁴⁵³⁸ is an apocalyptic number.

74538 is an abundant number, since it is smaller than the sum of its proper divisors (92538).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538).

74538 is a wasteful number, since it uses less digits than its factorization.

74538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 74538 is about 273.0164830189. The cubic root of 74538 is about 42.0848624307.

Subtracting 74538 from its reverse (83547), we obtain a palindrome (9009).

The spelling of 74538 in words is "seventy-four thousand, five hundred thirty-eight".