42726 has 8 divisors (see below), whose sum is σ = 85464. Its totient is φ = 14240.

The previous prime is 42719. The next prime is 42727. The reversal of 42726 is 62724.

It is a happy number.

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

42726 is an admirable number.

It is a super-2 number, since 2×42726² = 3651022152, which contains 22 as substring.

It is a Curzon number.

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 42726.

It is not an unprimeable number, because it can be changed into a prime (42727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3555 + ... + 3566.

It is an arithmetic number, because the mean of its divisors is an integer number (10683).

2⁴²⁷²⁶ is an apocalyptic number.

42726 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 (42732).

42726 is a wasteful number, since it uses less digits than its factorization.

42726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126.

The product of its digits is 672, while the sum is 21.

The square root of 42726 is about 206.7026850334. The cubic root of 42726 is about 34.9594087248.

It can be divided in two parts, 4272 and 6, that added together give a triangular number (4278 = T₉₂).

The spelling of 42726 in words is "forty-two thousand, seven hundred twenty-six".