127332 has 36 divisors (see below), whose sum is σ = 336336. Its totient is φ = 42120.

The previous prime is 127331. The next prime is 127343. The reversal of 127332 is 233721.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 1 + 2⁵ + 3⁶ + 7⁶ + 3⁶ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (127331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907 + ... + 1037.

2¹²⁷³³² is an apocalyptic number.

127332 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 127332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168).

127332 is an abundant number, since it is smaller than the sum of its proper divisors (209004).

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

127332 is a wasteful number, since it uses less digits than its factorization.

127332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 127332 is about 356.8360968288. The cubic root of 127332 is about 50.3090195373.

The spelling of 127332 in words is "one hundred twenty-seven thousand, three hundred thirty-two".