72999 has 6 divisors (see below), whose sum is σ = 105456. Its totient is φ = 48660.

The previous prime is 72997. The next prime is 73009. The reversal of 72999 is 99927.

It is not a de Polignac number, because 72999 - 2¹ = 72997 is a prime.

72999 is a modest number, since divided by 999 gives 72 as remainder.

It is a congruent number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4047 + ... + 4064.

It is an arithmetic number, because the mean of its divisors is an integer number (17576).

2⁷²⁹⁹⁹ is an apocalyptic number.

72999 is a deficient number, since it is larger than the sum of its proper divisors (32457).

72999 is a wasteful number, since it uses less digits than its factorization.

72999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8114 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 72999 is about 270.1832711328. The cubic root of 72999 is about 41.7932011255.

It can be divided in two parts, 729 and 99, that added together give a palindrome (828).

The spelling of 72999 in words is "seventy-two thousand, nine hundred ninety-nine".