272760 has 32 divisors (see below), whose sum is σ = 818640. Its totient is φ = 72704.

The previous prime is 272759. The next prime is 272761. The reversal of 272760 is 67272.

It is an interprime number because it is at equal distance from previous prime (272759) and next prime (272761).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 272760.

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, 1017 + ... + 1256.

2²⁷²⁷⁶⁰ is an apocalyptic number.

272760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272760 is an abundant number, since it is smaller than the sum of its proper divisors (545880).

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

272760 is a wasteful number, since it uses less digits than its factorization.

272760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 272760 is about 522.2643009052. The cubic root of 272760 is about 64.8525256183.

The spelling of 272760 in words is "two hundred seventy-two thousand, seven hundred sixty".