272457 has 8 divisors (see below), whose sum is σ = 403680. Its totient is φ = 181620.

The previous prime is 272453. The next prime is 272477. The reversal of 272457 is 754272.

It is not a de Polignac number, because 272457 - 2² = 272453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 10091 = 272457 / (2 + 7 + 2 + 4 + 5 + 7).

It is an Ulam number.

272457 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 272457.

It is not an unprimeable number, because it can be changed into a prime (272453) 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, 5019 + ... + 5072.

It is an arithmetic number, because the mean of its divisors is an integer number (50460).

2²⁷²⁴⁵⁷ is an apocalyptic number.

272457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

272457 is a deficient number, since it is larger than the sum of its proper divisors (131223).

272457 is a wasteful number, since it uses less digits than its factorization.

272457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10094 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 272457 is about 521.9741372903. The cubic root of 272457 is about 64.8285025504.

Adding to 272457 its sum of digits (27), we get a square (272484 = 522²).

It can be divided in two parts, 272 and 457, that added together give a 6-th power (729 = 3⁶).

The spelling of 272457 in words is "two hundred seventy-two thousand, four hundred fifty-seven".