159917472 has 216 divisors, whose sum is σ = 539842212. Its totient is φ = 44605440.

The previous prime is 159917449. The next prime is 159917477. The reversal of 159917472 is 274719951.

159917472 is a `hidden beast` number, since 1 + 599 + 17 + 47 + 2 = 666.

159917472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 9217296 = 12276^2 + 3036^2 .

It is not an unprimeable number, because it can be changed into a prime (159917477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452848 + ... + 453200.

Almost surely, 2^159917472 is an apocalyptic number.

159917472 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 159917472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269921106).

159917472 is an abundant number, since it is smaller than the sum of its proper divisors (379924740).

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

159917472 is a wasteful number, since it uses less digits than its factorization.

159917472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 159917472 is about 12645.8480142693. The cubic root of 159917472 is about 542.7901674924.

The spelling of 159917472 in words is "one hundred fifty-nine million, nine hundred seventeen thousand, four hundred seventy-two".