272420 has 24 divisors (see below), whose sum is σ = 585144. Its totient is φ = 106496.

The previous prime is 272417. The next prime is 272423. The reversal of 272420 is 24272.

272420 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (272417) and next prime (272423).

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 141376 = 362^2 + 376^2 .

It is not an unprimeable number, because it can be changed into a prime (272423) 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 7 ways as a sum of consecutive naturals, for example, 932 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (24381).

2²⁷²⁴²⁰ is an apocalyptic number.

272420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272420 is an abundant number, since it is smaller than the sum of its proper divisors (312724).

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

272420 is a wasteful number, since it uses less digits than its factorization.

272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 272420 is about 521.9386937179. The cubic root of 272420 is about 64.8255678204.

Adding to 272420 its reverse (24272), we get a palindrome (296692).

It can be divided in two parts, 2724 and 20, that added together give a cube (2744 = 14³).

The spelling of 272420 in words is "two hundred seventy-two thousand, four hundred twenty", and thus it is an iban number.