45726 has 8 divisors (see below), whose sum is σ = 91464. Its totient is φ = 15240.

The previous prime is 45707. The next prime is 45737. The reversal of 45726 is 62754.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

45726 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45696 and 45705.

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 45726.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3805 + ... + 3816.

It is an arithmetic number, because the mean of its divisors is an integer number (11433).

2⁴⁵⁷²⁶ is an apocalyptic number.

45726 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (45732).

45726 is a wasteful number, since it uses less digits than its factorization.

45726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626.

The product of its digits is 1680, while the sum is 24.

The square root of 45726 is about 213.8363860525. The cubic root of 45726 is about 35.7591953134.

The spelling of 45726 in words is "forty-five thousand, seven hundred twenty-six".