75438 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 22680.

The previous prime is 75437. The next prime is 75479. The reversal of 75438 is 83457.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75431) 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, 531 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁷⁵⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

75438 is an abundant number, since it is smaller than the sum of its proper divisors (108882).

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

75438 is a wasteful number, since it uses less digits than its factorization.

75438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

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

The square root of 75438 is about 274.6597895579. The cubic root of 75438 is about 42.2535680845.

It can be divided in two parts, 7 and 5438, that added together give a palindrome (5445).

The spelling of 75438 in words is "seventy-five thousand, four hundred thirty-eight".