127632 has 20 divisors (see below), whose sum is σ = 329840. Its totient is φ = 42528.

The previous prime is 127609. The next prime is 127637. The reversal of 127632 is 236721.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 127599 and 127608.

It is not an unprimeable number, because it can be changed into a prime (127637) by changing a digit.

127632 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 3 ways as a sum of consecutive naturals, for example, 1282 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

2¹²⁷⁶³² is an apocalyptic number.

127632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127632 is an abundant number, since it is smaller than the sum of its proper divisors (202208).

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

127632 is a wasteful number, since it uses less digits than its factorization.

127632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 127632 is about 357.2562105828. The cubic root of 127632 is about 50.3484986635.

The spelling of 127632 in words is "one hundred twenty-seven thousand, six hundred thirty-two".