272993 has 8 divisors (see below), whose sum is σ = 317760. Its totient is φ = 229680.

The previous prime is 272989. The next prime is 272999. The reversal of 272993 is 399272.

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 272993 - 2² = 272989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272999) 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, 83 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (39720).

2²⁷²⁹⁹³ is an apocalyptic number.

It is an amenable number.

272993 is a deficient number, since it is larger than the sum of its proper divisors (44767).

272993 is an equidigital number, since it uses as much as digits as its factorization.

272993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

The product of its digits is 6804, while the sum is 32.

The square root of 272993 is about 522.4873204203. The cubic root of 272993 is about 64.8709867048.

The spelling of 272993 in words is "two hundred seventy-two thousand, nine hundred ninety-three".