159072 has 24 divisors (see below), whose sum is σ = 417816. Its totient is φ = 52992.

The previous prime is 159059. The next prime is 159073. The reversal of 159072 is 270951.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 733 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (17409).

2¹⁵⁹⁰⁷² is an apocalyptic number.

159072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

159072 is an abundant number, since it is smaller than the sum of its proper divisors (258744).

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

159072 is a wasteful number, since it uses less digits than its factorization.

159072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 159072 is about 398.8383131044. The cubic root of 159072 is about 54.1831912765.

The spelling of 159072 in words is "one hundred fifty-nine thousand, seventy-two".