89726 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 32256.

The previous prime is 89689. The next prime is 89753. The reversal of 89726 is 62798.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89692 and 89701.

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 89726.

It is an unprimeable number.

89726 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080 + ... + 3108.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁸⁹⁷²⁶ is an apocalyptic number.

89726 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 (90720).

89726 is a wasteful number, since it uses less digits than its factorization.

89726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68.

The product of its digits is 6048, while the sum is 32.

The square root of 89726 is about 299.5429852292. The cubic root of 89726 is about 44.7685232764.

The spelling of 89726 in words is "eighty-nine thousand, seven hundred twenty-six".