272628 has 18 divisors (see below), whose sum is σ = 689234. Its totient is φ = 90864.

The previous prime is 272621. The next prime is 272651. The reversal of 272628 is 826272.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 144 = 522^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272621) by changing a digit.

272628 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 5 ways as a sum of consecutive naturals, for example, 3751 + ... + 3822.

2²⁷²⁶²⁸ is an apocalyptic number.

It is an amenable number.

272628 is an abundant number, since it is smaller than the sum of its proper divisors (416606).

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

272628 is a wasteful number, since it uses less digits than its factorization.

272628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7578 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 272628 is about 522.1379128161. The cubic root of 272628 is about 64.8420623115.

It can be divided in two parts, 272 and 628, that added together give a square (900 = 30²).

The spelling of 272628 in words is "two hundred seventy-two thousand, six hundred twenty-eight".