127272 has 16 divisors (see below), whose sum is σ = 318240. Its totient is φ = 42416.

The previous prime is 127271. The next prime is 127277. The reversal of 127272 is 272721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2¹²⁷²⁷² is an apocalyptic number.

127272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127272 is an abundant number, since it is smaller than the sum of its proper divisors (190968).

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

127272 is a wasteful number, since it uses less digits than its factorization.

127272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5308 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 127272 is about 356.7520147105. The cubic root of 127272 is about 50.3011162728.

Adding to 127272 its reverse (272721), we get a palindrome (399993).

The spelling of 127272 in words is "one hundred twenty-seven thousand, two hundred seventy-two", and thus it is an iban number.