72793 has 4 divisors (see below), whose sum is σ = 83200. Its totient is φ = 62388.

The previous prime is 72767. The next prime is 72797. The reversal of 72793 is 39727.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72793 - 2¹³ = 64601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72797) 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, 5193 + ... + 5206.

It is an arithmetic number, because the mean of its divisors is an integer number (20800).

2⁷²⁷⁹³ is an apocalyptic number.

It is an amenable number.

72793 is a deficient number, since it is larger than the sum of its proper divisors (10407).

72793 is a wasteful number, since it uses less digits than its factorization.

72793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406.

The product of its digits is 2646, while the sum is 28.

The square root of 72793 is about 269.8017790898. The cubic root of 72793 is about 41.7538512230.

It can be divided in two parts, 727 and 93, that added together give a triangular number (820 = T₄₀).

The spelling of 72793 in words is "seventy-two thousand, seven hundred ninety-three".