165073200 has 120 divisors (see below), whose sum is σ = 532870656. Its totient is φ = 43680000.

The previous prime is 165073189. The next prime is 165073229. The reversal of 165073200 is 2370561.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×165073200² = 54498322716480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 180745 + ... + 181655.

Almost surely, 2^165073200 is an apocalyptic number.

165073200 is a gapful number since it is divisible by the number (10) 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 165073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266435328).

165073200 is an abundant number, since it is smaller than the sum of its proper divisors (367797456).

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

165073200 is a wasteful number, since it uses less digits than its factorization.

165073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 165073200 is about 12848.0815688569. The cubic root of 165073200 is about 548.5617519064.

The spelling of 165073200 in words is "one hundred sixty-five million, seventy-three thousand, two hundred".