165073944 has 192 divisors, whose sum is σ = 531878400. Its totient is φ = 42341376.

The previous prime is 165073943. The next prime is 165073949. The reversal of 165073944 is 449370561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165073943) 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 47 ways as a sum of consecutive naturals, for example, 459637 + ... + 459995.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^165073944 is an apocalyptic number.

165073944 is a gapful number since it is divisible by the number (14) 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 165073944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

165073944 is an abundant number, since it is smaller than the sum of its proper divisors (366804456).

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

165073944 is a wasteful number, since it uses less digits than its factorization.

165073944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

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

The square root of 165073944 is about 12848.1105225632. The cubic root of 165073944 is about 548.5625760445.

The spelling of 165073944 in words is "one hundred sixty-five million, seventy-three thousand, nine hundred forty-four".