75126 has 16 divisors (see below), whose sum is σ = 158400. Its totient is φ = 23688.

The previous prime is 75109. The next prime is 75133. The reversal of 75126 is 62157.

It is a plaindrome in base 8.

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 75126.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2⁷⁵¹²⁶ is an apocalyptic number.

75126 is an abundant number, since it is smaller than the sum of its proper divisors (83274).

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 (79200).

75126 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 16 representation: 75126 = (12576)₁₆.

75126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 420, while the sum is 21.

The square root of 75126 is about 274.0912256896. The cubic root of 75126 is about 42.1952361670.

It can be divided in two parts, 751 and 26, that added together give a palindrome (777).

The spelling of 75126 in words is "seventy-five thousand, one hundred twenty-six".