72831 has 8 divisors (see below), whose sum is σ = 105984. Its totient is φ = 44120.

The previous prime is 72823. The next prime is 72859. The reversal of 72831 is 13827.

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

It is a cyclic number.

It is not a de Polignac number, because 72831 - 2³ = 72823 is a prime.

It is a super-2 number, since 2×72831² = 10608709122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72798 and 72807.

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 72831.

It is not an unprimeable number, because it can be changed into a prime (72871) 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, 1071 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (13248).

2⁷²⁸³¹ is an apocalyptic number.

72831 is a deficient number, since it is larger than the sum of its proper divisors (33153).

72831 is a wasteful number, since it uses less digits than its factorization.

72831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its digits is 336, while the sum is 21.

The square root of 72831 is about 269.8721919724. The cubic root of 72831 is about 41.7611155219.

It can be divided in two parts, 72 and 831, that added together give a triangular number (903 = T₄₂).

The spelling of 72831 in words is "seventy-two thousand, eight hundred thirty-one".