75726 has 24 divisors (see below), whose sum is σ = 187824. Its totient is φ = 21600.

The previous prime is 75721. The next prime is 75731. The reversal of 75726 is 62757.

It is an interprime number because it is at equal distance from previous prime (75721) and next prime (75731).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75726.

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 75726.

It is not an unprimeable number, because it can be changed into a prime (75721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (7826).

2⁷⁵⁷²⁶ is an apocalyptic number.

75726 is an abundant number, since it is smaller than the sum of its proper divisors (112098).

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 (93912).

75726 is a wasteful number, since it uses less digits than its factorization.

75726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 75726 is about 275.1835750912. The cubic root of 75726 is about 42.3072703497.

The spelling of 75726 in words is "seventy-five thousand, seven hundred twenty-six".