272000 has 64 divisors (see below), whose sum is σ = 716040. Its totient is φ = 102400.

The previous prime is 271981. The next prime is 272003. The reversal of 272000 is 272.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 153664 = 344^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272000.

It is not an unprimeable number, because it can be changed into a prime (272003) by changing a digit.

272000 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 in 7 ways as a sum of consecutive naturals, for example, 15992 + ... + 16008.

2²⁷²⁰⁰⁰ is an apocalyptic number.

272000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020).

272000 is an abundant number, since it is smaller than the sum of its proper divisors (444040).

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

272000 is an equidigital number, since it uses as much as digits as its factorization.

272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 272000 is about 521.5361924162. The cubic root of 272000 is about 64.7922360255.

Adding to 272000 its reverse (272), we get a palindrome (272272).

272000 divided by its reverse (272) gives a cube (1000 = 10³).

The spelling of 272000 in words is "two hundred seventy-two thousand", and thus it is an iban number.