159823872 has 288 divisors, whose sum is σ = 536608800. Its totient is φ = 45416448.

The previous prime is 159823871. The next prime is 159823891. The reversal of 159823872 is 278328951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×159823872² = 51087340122144768, which contains 22 as substring.

Its product of digits (241920) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159823871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5511154 + ... + 5511182.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2^159823872 is an apocalyptic number.

159823872 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 159823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

159823872 is an abundant number, since it is smaller than the sum of its proper divisors (376784928).

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

159823872 is a wasteful number, since it uses less digits than its factorization.

159823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 159823872 is about 12642.1466531598. The cubic root of 159823872 is about 542.6842481195.

The spelling of 159823872 in words is "one hundred fifty-nine million, eight hundred twenty-three thousand, eight hundred seventy-two".