127520 has 24 divisors (see below), whose sum is σ = 301644. Its totient is φ = 50944.

The previous prime is 127507. The next prime is 127529. The reversal of 127520 is 25721.

127520 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 784 = 356^2 + 28^2 .

It is a super-2 number, since 2×127520² = 32522700800, which contains 22 as substring.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127520.

It is not an unprimeable number, because it can be changed into a prime (127529) by changing a digit.

127520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 558.

2¹²⁷⁵²⁰ is an apocalyptic number.

127520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127520 is an abundant number, since it is smaller than the sum of its proper divisors (174124).

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

127520 is an equidigital number, since it uses as much as digits as its factorization.

127520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 127520 is about 357.0994259307. The cubic root of 127520 is about 50.3337670338. Note that the first 3 decimals are identical.

The spelling of 127520 in words is "one hundred twenty-seven thousand, five hundred twenty".