72993 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 46928.

The previous prime is 72977. The next prime is 72997. The reversal of 72993 is 39927.

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 72993 - 2⁴ = 72977 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72993.

It is not an unprimeable number, because it can be changed into a prime (72997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁷²⁹⁹³ is an apocalyptic number.

It is an amenable number.

72993 is a deficient number, since it is larger than the sum of its proper divisors (27807).

72993 is a wasteful number, since it uses less digits than its factorization.

72993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871.

The product of its digits is 3402, while the sum is 30.

The square root of 72993 is about 270.1721673304. The cubic root of 72993 is about 41.7920560593.

The spelling of 72993 in words is "seventy-two thousand, nine hundred ninety-three".