72159 has 8 divisors (see below), whose sum is σ = 97920. Its totient is φ = 47256.

The previous prime is 72139. The next prime is 72161. The reversal of 72159 is 95127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72159 - 2⁷ = 72031 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72109) by changing a digit.

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, 22 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2⁷²¹⁵⁹ is an apocalyptic number.

72159 is a deficient number, since it is larger than the sum of its proper divisors (25761).

72159 is a wasteful number, since it uses less digits than its factorization.

72159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

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

The square root of 72159 is about 268.6242729167. The cubic root of 72159 is about 41.6322774027.

It can be divided in two parts, 721 and 59, that added together give a triangular number (780 = T₃₉).

The spelling of 72159 in words is "seventy-two thousand, one hundred fifty-nine".