165727944 has 112 divisors (see below), whose sum is σ = 471454620. Its totient is φ = 54587520.

The previous prime is 165727943. The next prime is 165727957. The reversal of 165727944 is 449727561.

165727944 is a `hidden beast` number, since 1 + 6 + 572 + 79 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134792100 + 30935844 = 11610^2 + 5562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165727944.

It is not an unprimeable number, because it can be changed into a prime (165727943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 915534 + ... + 915714.

Almost surely, 2^165727944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165727944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235727310).

165727944 is an abundant number, since it is smaller than the sum of its proper divisors (305726676).

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

165727944 is a wasteful number, since it uses less digits than its factorization.

165727944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 165727944 is about 12873.5365770250. The cubic root of 165727944 is about 549.2860642997.

The spelling of 165727944 in words is "one hundred sixty-five million, seven hundred twenty-seven thousand, nine hundred forty-four".