127631972 has 24 divisors (see below), whose sum is σ = 241386936. Its totient is φ = 58699008.

The previous prime is 127631941. The next prime is 127631989. The reversal of 127631972 is 279136721.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 118243876 = 3064^2 + 10874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11048 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (10057789).

Almost surely, 2^127631972 is an apocalyptic number.

It is an amenable number.

127631972 is a deficient number, since it is larger than the sum of its proper divisors (113754964).

127631972 is a wasteful number, since it uses less digits than its factorization.

127631972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8685 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 127631972 is about 11297.4320976052. The cubic root of 127631972 is about 503.4849498172.

The spelling of 127631972 in words is "one hundred twenty-seven million, six hundred thirty-one thousand, nine hundred seventy-two".