272765 has 8 divisors (see below), whose sum is σ = 346680. Its totient is φ = 205312.

The previous prime is 272761. The next prime is 272771. The reversal of 272765 is 567272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63001 + 209764 = 251^2 + 458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272765 - 2² = 272761 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (43335).

2²⁷²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

272765 is a deficient number, since it is larger than the sum of its proper divisors (73915).

272765 is a wasteful number, since it uses less digits than its factorization.

272765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231.

The product of its digits is 5880, while the sum is 29.

The square root of 272765 is about 522.2690877316. The cubic root of 272765 is about 64.8529218893.

It can be divided in two parts, 2 and 72765, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 272765 in words is "two hundred seventy-two thousand, seven hundred sixty-five".