127672 has 8 divisors (see below), whose sum is σ = 239400. Its totient is φ = 63832.

The previous prime is 127669. The next prime is 127679. The reversal of 127672 is 276721.

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7972 + ... + 7987.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2¹²⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

127672 is a deficient number, since it is larger than the sum of its proper divisors (111728).

127672 is a wasteful number, since it uses less digits than its factorization.

127672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15965 (or 15961 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 127672 is about 357.3121884291. The cubic root of 127672 is about 50.3537578713.

It can be divided in two parts, 12767 and 2, that added together give a square (12769 = 113²).

The spelling of 127672 in words is "one hundred twenty-seven thousand, six hundred seventy-two".