165330672 has 120 divisors (see below), whose sum is σ = 469724400. Its totient is φ = 50079744.

The previous prime is 165330643. The next prime is 165330673. The reversal of 165330672 is 276033561.

It is a super-2 number, since 2×165330672² = 54668462207943168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165330673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721854 + ... + 722082.

It is an arithmetic number, because the mean of its divisors is an integer number (3914370).

Almost surely, 2^165330672 is an apocalyptic number.

165330672 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 165330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234862200).

165330672 is an abundant number, since it is smaller than the sum of its proper divisors (304393728).

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

165330672 is a wasteful number, since it uses less digits than its factorization.

165330672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 165330672 is about 12858.0975264617. The cubic root of 165330672 is about 548.8468091266.

The spelling of 165330672 in words is "one hundred sixty-five million, three hundred thirty thousand, six hundred seventy-two".