272768 has 16 divisors (see below), whose sum is σ = 543660. Its totient is φ = 136320.

The previous prime is 272761. The next prime is 272771. The reversal of 272768 is 867272.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272768.

It is not an unprimeable number, because it can be changed into a prime (272761) by changing a digit.

272768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 938 + ... + 1193.

272768 is a Friedman number, since it can be written as 6^7-7*2^(8+2), using all its digits and the basic arithmetic operations.

2²⁷²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

272768 is a deficient number, since it is larger than the sum of its proper divisors (270892).

272768 is an equidigital number, since it uses as much as digits as its factorization.

272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2133 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 272768 is about 522.2719598064. The cubic root of 272768 is about 64.8531596496.

The spelling of 272768 in words is "two hundred seventy-two thousand, seven hundred sixty-eight".