127872 has 64 divisors (see below), whose sum is σ = 387600. Its totient is φ = 41472.

The previous prime is 127867. The next prime is 127873. The reversal of 127872 is 278721.

127872 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127873) by changing a digit.

127872 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 7 ways as a sum of consecutive naturals, for example, 3438 + ... + 3474.

2¹²⁷⁸⁷² is an apocalyptic number.

127872 is a gapful number since it is divisible by the number (12) 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 127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193800).

127872 is an abundant number, since it is smaller than the sum of its proper divisors (259728).

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

127872 is an equidigital number, since it uses as much as digits as its factorization.

127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 127872 is about 357.5919462180. The cubic root of 127872 is about 50.3800374457.

It can be divided in two parts, 127 and 872, that added together give a palindrome (999).

The spelling of 127872 in words is "one hundred twenty-seven thousand, eight hundred seventy-two".