72839 has 6 divisors (see below), whose sum is σ = 79056. Its totient is φ = 67080.

The previous prime is 72823. The next prime is 72859. The reversal of 72839 is 93827.

It is not a de Polignac number, because 72839 - 2⁴ = 72823 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72839.

It is not an unprimeable number, because it can be changed into a prime (72859) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2⁷²⁸³⁹ is an apocalyptic number.

72839 is a deficient number, since it is larger than the sum of its proper divisors (6217).

72839 is a wasteful number, since it uses less digits than its factorization.

72839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 72839 is about 269.8870133963. The cubic root of 72839 is about 41.7626445260.

It can be divided in two parts, 728 and 39, that added together give a palindrome (767).

The spelling of 72839 in words is "seventy-two thousand, eight hundred thirty-nine".