272368 has 20 divisors (see below), whose sum is σ = 546840. Its totient is φ = 131264.

The previous prime is 272359. The next prime is 272369. The reversal of 272368 is 863272.

272368 = 7² + 8² + ... + 93².

It is a d-powerful number, because it can be written as 2¹² + 7 + 3⁶ + 2¹⁸ + 6⁴ + 8⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2²⁷²³⁶⁸ 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 272368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

272368 is an abundant number, since it is smaller than the sum of its proper divisors (274472).

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

272368 is a wasteful number, since it uses less digits than its factorization.

272368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 272368 is about 521.8888770610. Note that the first 4 decimals coincide. The cubic root of 272368 is about 64.8214428858.

It can be divided in two parts, 27 and 2368, that multiplied together give a palindrome (63936).

The spelling of 272368 in words is "two hundred seventy-two thousand, three hundred sixty-eight".