272928 has 24 divisors (see below), whose sum is σ = 716688. Its totient is φ = 90944.

The previous prime is 272927. The next prime is 272933. The reversal of 272928 is 829272.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 272895 and 272904.

It is not an unprimeable number, because it can be changed into a prime (272927) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1326 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (29862).

2²⁷²⁹²⁸ is an apocalyptic number.

It is an amenable number.

272928 is an abundant number, since it is smaller than the sum of its proper divisors (443760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272928 is a wasteful number, since it uses less digits than its factorization.

272928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2848 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 272928 is about 522.4251142508. The cubic root of 272928 is about 64.8658376731.

The spelling of 272928 in words is "two hundred seventy-two thousand, nine hundred twenty-eight".