127427972 has 48 divisors (see below), whose sum is σ = 265776000. Its totient is φ = 52303104.

The previous prime is 127427969. The next prime is 127428013. The reversal of 127427972 is 279724721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112304 + ... + 113432.

It is an arithmetic number, because the mean of its divisors is an integer number (5537000).

Almost surely, 2^127427972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127427972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132888000).

127427972 is an abundant number, since it is smaller than the sum of its proper divisors (138348028).

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

127427972 is a wasteful number, since it uses less digits than its factorization.

127427972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 127427972 is about 11288.3998866093. The cubic root of 127427972 is about 503.2165591224.

The spelling of 127427972 in words is "one hundred twenty-seven million, four hundred twenty-seven thousand, nine hundred seventy-two".