272385 has 12 divisors (see below), whose sum is σ = 472212. Its totient is φ = 145248.

The previous prime is 272383. The next prime is 272399. The reversal of 272385 is 583272.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 219024 = 231^2 + 468^2 .

It is not a de Polignac number, because 272385 - 2¹ = 272383 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

272385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (272381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (39351).

It is a Proth number, since it is equal to 133 ⋅ 2¹¹ + 1 and 133 < 2¹¹.

2²⁷²³⁸⁵ is an apocalyptic number.

It is an amenable number.

272385 is a deficient number, since it is larger than the sum of its proper divisors (199827).

272385 is a wasteful number, since it uses less digits than its factorization.

272385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6061 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 272385 is about 521.9051637989. The cubic root of 272385 is about 64.8227914799.

The spelling of 272385 in words is "two hundred seventy-two thousand, three hundred eighty-five".