272468 has 24 divisors (see below), whose sum is σ = 561792. Its totient is φ = 113184.

The previous prime is 272453. The next prime is 272477. The reversal of 272468 is 864272.

It is a super-2 number, since 2×272468² = 148477622048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272468.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272468.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

272468 is a Friedman number, since it can be written as (87*6)^2-2^4, using all its digits and the basic arithmetic operations.

2²⁷²⁴⁶⁸ is an apocalyptic number.

272468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896).

272468 is an abundant number, since it is smaller than the sum of its proper divisors (289324).

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

272468 is a wasteful number, since it uses less digits than its factorization.

272468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 272468 is about 521.9846741045. The cubic root of 272468 is about 64.8293749864.

The spelling of 272468 in words is "two hundred seventy-two thousand, four hundred sixty-eight".