159372 has 36 divisors (see below), whose sum is σ = 425880. Its totient is φ = 50112.

The previous prime is 159361. The next prime is 159389. The reversal of 159372 is 273951.

159372 is a `hidden beast` number, since 1 + 593 + 72 = 666.

159372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

159372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (11830).

2¹⁵⁹³⁷² is an apocalyptic number.

159372 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 159372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).

159372 is an abundant number, since it is smaller than the sum of its proper divisors (266508).

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

159372 is a wasteful number, since it uses less digits than its factorization.

159372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 159372 is about 399.2142282034. The cubic root of 159372 is about 54.2172319404.

The spelling of 159372 in words is "one hundred fifty-nine thousand, three hundred seventy-two".