127530 has 48 divisors (see below), whose sum is σ = 360360. Its totient is φ = 31104.

The previous prime is 127529. The next prime is 127541. The reversal of 127530 is 35721.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 35721 = 303^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127530.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116 + ... + 1224.

2¹²⁷⁵³⁰ is an apocalyptic number.

127530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180).

127530 is an abundant number, since it is smaller than the sum of its proper divisors (232830).

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

127530 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 127530 = (371052)₈.

127530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 127530 is about 357.1134273589. The cubic root of 127530 is about 50.3350827085.

Subtracting from 127530 its reverse (35721), we obtain a square (91809 = 303²).

The spelling of 127530 in words is "one hundred twenty-seven thousand, five hundred thirty".