165329472 has 224 divisors, whose sum is σ = 558296064. Its totient is φ = 41932800.

The previous prime is 165329413. The next prime is 165329473. The reversal of 165329472 is 274923561.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 165329472.

It is not an unprimeable number, because it can be changed into a prime (165329473) 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 31 ways as a sum of consecutive naturals, for example, 783447 + ... + 783657.

Almost surely, 2^165329472 is an apocalyptic number.

165329472 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 165329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279148032).

165329472 is an abundant number, since it is smaller than the sum of its proper divisors (392966592).

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

165329472 is a wasteful number, since it uses less digits than its factorization.

165329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 165329472 is about 12858.0508631752. The cubic root of 165329472 is about 548.8454812468.

It can be divided in two parts, 1653 and 29472, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 165329472 in words is "one hundred sixty-five million, three hundred twenty-nine thousand, four hundred seventy-two".