272608 has 24 divisors (see below), whose sum is σ = 613872. Its totient is φ = 116736.

The previous prime is 272603. The next prime is 272621. The reversal of 272608 is 806272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272603) by changing a digit.

272608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385 + ... + 832.

It is an arithmetic number, because the mean of its divisors is an integer number (25578).

2²⁷²⁶⁰⁸ is an apocalyptic number.

272608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272608 is an abundant number, since it is smaller than the sum of its proper divisors (341264).

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

272608 is a wasteful number, since it uses less digits than its factorization.

272608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 272608 is about 522.1187604367. The cubic root of 272608 is about 64.8404766674.

The spelling of 272608 in words is "two hundred seventy-two thousand, six hundred eight".