165725568 has 128 divisors (see below), whose sum is σ = 496128000. Its totient is φ = 54452736.

The previous prime is 165725561. The next prime is 165725587. The reversal of 165725568 is 865527561.

165725568 is a `hidden beast` number, since 1 + 65 + 7 + 25 + 568 = 666.

165725568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165725561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272721 + ... + 273327.

It is an arithmetic number, because the mean of its divisors is an integer number (3876000).

Almost surely, 2^165725568 is an apocalyptic number.

165725568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248064000).

165725568 is an abundant number, since it is smaller than the sum of its proper divisors (330402432).

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

165725568 is an equidigital number, since it uses as much as digits as its factorization.

165725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 691 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 165725568 is about 12873.4442943604. Note that the first 3 decimals coincide. The cubic root of 165725568 is about 549.2834392950.

It can be divided in two parts, 1657 and 25568, that added together give a square (27225 = 165²).

The spelling of 165725568 in words is "one hundred sixty-five million, seven hundred twenty-five thousand, five hundred sixty-eight".