127972 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 55968.

The previous prime is 127951. The next prime is 127973. The reversal of 127972 is 279721.

It is a happy number.

Its product of digits (1764) is a multiple of the sum of its prime factors (147).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 127972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1249.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹²⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

127972 is a deficient number, since it is larger than the sum of its proper divisors (126044).

127972 is a wasteful number, since it uses less digits than its factorization.

127972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 127972 is about 357.7317430701. The cubic root of 127972 is about 50.3931669581.

The spelling of 127972 in words is "one hundred twenty-seven thousand, nine hundred seventy-two".