272766 has 24 divisors (see below), whose sum is σ = 592920. Its totient is φ = 83616.

The previous prime is 272761. The next prime is 272771. The reversal of 272766 is 667272.

It is an interprime number because it is at equal distance from previous prime (272761) and next prime (272771).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 13.

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 272766.

It is not an unprimeable number, because it can be changed into a prime (272761) by changing a digit.

272766 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 11 ways as a sum of consecutive naturals, for example, 880 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (24705).

2²⁷²⁷⁶⁶ is an apocalyptic number.

272766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 272766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296460).

272766 is an abundant number, since it is smaller than the sum of its proper divisors (320154).

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

272766 is a wasteful number, since it uses less digits than its factorization.

272766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 272766 is about 522.2700450916. The cubic root of 272766 is about 64.8530011430.

The spelling of 272766 in words is "two hundred seventy-two thousand, seven hundred sixty-six".