165859872 has 48 divisors (see below), whose sum is σ = 438594912. Its totient is φ = 54878720.

The previous prime is 165859861. The next prime is 165859909. The reversal of 165859872 is 278958561.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6847 + ... + 19457.

It is an arithmetic number, because the mean of its divisors is an integer number (9137394).

Almost surely, 2^165859872 is an apocalyptic number.

165859872 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 165859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219297456).

165859872 is an abundant number, since it is smaller than the sum of its proper divisors (272735040).

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

165859872 is a wasteful number, since it uses less digits than its factorization.

165859872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12753 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The square root of 165859872 is about 12878.6595575782. The cubic root of 165859872 is about 549.4317789967.

The spelling of 165859872 in words is "one hundred sixty-five million, eight hundred fifty-nine thousand, eight hundred seventy-two".