165726 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 48600.

The previous prime is 165721. The next prime is 165749. The reversal of 165726 is 627561.

165726 is a `hidden beast` number, since 1 + 657 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 165726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165721) by changing a digit.

165726 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 23 ways as a sum of consecutive naturals, for example, 5331 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹⁶⁵⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

165726 is an abundant number, since it is smaller than the sum of its proper divisors (253602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165726 is a wasteful number, since it uses less digits than its factorization.

165726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 165726 is about 407.0945836044. The cubic root of 165726 is about 54.9283916570.

The spelling of 165726 in words is "one hundred sixty-five thousand, seven hundred twenty-six".