165872224 has 48 divisors (see below), whose sum is σ = 382336416. Its totient is φ = 69350400.

The previous prime is 165872219. The next prime is 165872233. The reversal of 165872224 is 422278561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 18214.

It is an arithmetic number, because the mean of its divisors is an integer number (7965342).

Almost surely, 2^165872224 is an apocalyptic number.

165872224 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 165872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191168208).

165872224 is an abundant number, since it is smaller than the sum of its proper divisors (216464192).

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

165872224 is a wasteful number, since it uses less digits than its factorization.

165872224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18119 (or 18111 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 165872224 is about 12879.1391016636. The cubic root of 165872224 is about 549.4454178450.

The spelling of 165872224 in words is "one hundred sixty-five million, eight hundred seventy-two thousand, two hundred twenty-four".