272384 has 48 divisors (see below), whose sum is σ = 655200. Its totient is φ = 110592.

The previous prime is 272383. The next prime is 272399. The reversal of 272384 is 483272.

It is a d-powerful number, because it can be written as 2¹⁵ + 7³ + 3¹⁰ + 2¹⁷ + 8⁵ + 4⁷ .

Its product of digits (2688) is a multiple of the sum of its prime divisors (28).

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14327 + ... + 14345.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2²⁷²³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

272384 is an abundant number, since it is smaller than the sum of its proper divisors (382816).

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

272384 is an equidigital number, since it uses as much as digits as its factorization.

272384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 272384 is about 521.9042057696. The cubic root of 272384 is about 64.8227121524.

It can be divided in two parts, 272 and 384, that added together give a palindrome (656).

The spelling of 272384 in words is "two hundred seventy-two thousand, three hundred eighty-four".