272556 has 36 divisors (see below), whose sum is σ = 705432. Its totient is φ = 88704.

The previous prime is 272549. The next prime is 272563. The reversal of 272556 is 655272.

It is an interprime number because it is at equal distance from previous prime (272549) and next prime (272563).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356 + ... + 2468.

2²⁷²⁵⁵⁶ 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 272556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352716).

272556 is an abundant number, since it is smaller than the sum of its proper divisors (432876).

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

272556 is a wasteful number, since it uses less digits than its factorization.

272556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 272556 is about 522.0689609621. The cubic root of 272556 is about 64.8363536297.

It can be divided in two parts, 27255 and 6, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 272556 in words is "two hundred seventy-two thousand, five hundred fifty-six".