272763 has 6 divisors (see below), whose sum is σ = 394004. Its totient is φ = 181836.

The previous prime is 272761. The next prime is 272771. The reversal of 272763 is 367272.

It is not a de Polignac number, because 272763 - 2¹ = 272761 is a prime.

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

It is a Duffinian number.

272763 is a lucky 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 5 ways as a sum of consecutive naturals, for example, 15145 + ... + 15162.

2²⁷²⁷⁶³ is an apocalyptic number.

272763 is a deficient number, since it is larger than the sum of its proper divisors (121241).

272763 is a wasteful number, since it uses less digits than its factorization.

272763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30313 (or 30310 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 272763 is about 522.2671730063. The cubic root of 272763 is about 64.8527633815.

It can be divided in two parts, 272 and 763, that added together give a triangular number (1035 = T₄₅).

The spelling of 272763 in words is "two hundred seventy-two thousand, seven hundred sixty-three".