272349 has 32 divisors (see below), whose sum is σ = 506880. Its totient is φ = 140400.

The previous prime is 272347. The next prime is 272351. The reversal of 272349 is 943272.

It is an interprime number because it is at equal distance from previous prime (272347) and next prime (272351).

It is not a de Polignac number, because 272349 - 2¹ = 272347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2 + 7⁴ + 3⁸ + 2⁹ + 4⁹ + 9³ .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014 + ... + 2144.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2²⁷²³⁴⁹ is an apocalyptic number.

It is an amenable number.

272349 is a deficient number, since it is larger than the sum of its proper divisors (234531).

272349 is a wasteful number, since it uses less digits than its factorization.

272349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 272349 is about 521.8706736348. The cubic root of 272349 is about 64.8199355672.

It can be divided in two parts, 2723 and 49, that added together give a palindrome (2772).

The spelling of 272349 in words is "two hundred seventy-two thousand, three hundred forty-nine".