165732336 has 120 divisors (see below), whose sum is σ = 578308224. Its totient is φ = 43044480.

The previous prime is 165732331. The next prime is 165732349. The reversal of 165732336 is 633237561.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165732336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165732331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615 + ... + 18561.

Almost surely, 2^165732336 is an apocalyptic number.

165732336 is a gapful number since it is divisible by the number (16) 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 165732336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289154112).

165732336 is an abundant number, since it is smaller than the sum of its proper divisors (412575888).

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

165732336 is a wasteful number, since it uses less digits than its factorization.

165732336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979 (or 14970 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 165732336 is about 12873.7071583907. The cubic root of 165732336 is about 549.2909165152.

Adding to 165732336 its reverse (633237561), we get a palindrome (798969897).

The spelling of 165732336 in words is "one hundred sixty-five million, seven hundred thirty-two thousand, three hundred thirty-six".