72833 has 4 divisors (see below), whose sum is σ = 73428. Its totient is φ = 72240.

The previous prime is 72823. The next prime is 72859. The reversal of 72833 is 33827.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 27889 + 44944 = 167^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 72833 - 2⁴ = 72817 is a prime.

It is a d-powerful number, because it can be written as 7 + 2¹⁵ + 8⁵ + 3⁶ + 3⁸ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72799 and 72808.

It is not an unprimeable number, because it can be changed into a prime (72823) 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, 38 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (18357).

2⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

72833 is a deficient number, since it is larger than the sum of its proper divisors (595).

72833 is a wasteful number, since it uses less digits than its factorization.

72833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

The product of its digits is 1008, while the sum is 23.

The square root of 72833 is about 269.8758974047. The cubic root of 72833 is about 41.7614977835.

The spelling of 72833 in words is "seventy-two thousand, eight hundred thirty-three".