165275712 has 168 divisors, whose sum is σ = 546811200. Its totient is φ = 46752768.

The previous prime is 165275701. The next prime is 165275729. The reversal of 165275712 is 217572561.

165275712 is a `hidden beast` number, since 1 + 65 + 27 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (29400) is a multiple of the sum of its prime divisors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721614 + ... + 721842.

Almost surely, 2^165275712 is an apocalyptic number.

165275712 is a gapful number since it is divisible by the number (12) 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 165275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273405600).

165275712 is an abundant number, since it is smaller than the sum of its proper divisors (381535488).

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

165275712 is a wasteful number, since it uses less digits than its factorization.

165275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 165275712 is about 12855.9601741760. The cubic root of 165275712 is about 548.7859856400.

The spelling of 165275712 in words is "one hundred sixty-five million, two hundred seventy-five thousand, seven hundred twelve".