72813 has 8 divisors (see below), whose sum is σ = 104608. Its totient is φ = 44784.

The previous prime is 72797. The next prime is 72817. The reversal of 72813 is 31827.

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

It is not a de Polignac number, because 72813 - 2⁴ = 72797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (13076).

2⁷²⁸¹³ is an apocalyptic number.

It is an amenable number.

72813 is a deficient number, since it is larger than the sum of its proper divisors (31795).

72813 is a wasteful number, since it uses less digits than its factorization.

72813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

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

The square root of 72813 is about 269.8388407921. The cubic root of 72813 is about 41.7576748533.

It can be divided in two parts, 728 and 13, that added together give a triangular number (741 = T₃₈).

The spelling of 72813 in words is "seventy-two thousand, eight hundred thirteen".