272748 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 72960.

The previous prime is 272737. The next prime is 272759. The reversal of 272748 is 847272.

It is an interprime number because it is at equal distance from previous prime (272737) and next prime (272759).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹² + 7 + 7⁴ + 2¹⁸ + 4 + 8⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272748.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2²⁷²⁷⁴⁸ is an apocalyptic number.

272748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

272748 is an abundant number, since it is smaller than the sum of its proper divisors (501396).

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

272748 is a wasteful number, since it uses less digits than its factorization.

272748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 272748 is about 522.2528123428. The cubic root of 272748 is about 64.8515745481.

It can be divided in two parts, 2727 and 48, that added together give a triangular number (2775 = T₇₄).

The spelling of 272748 in words is "two hundred seventy-two thousand, seven hundred forty-eight".