127683472 has 40 divisors (see below), whose sum is σ = 285348800. Its totient is φ = 54214272.

The previous prime is 127683403. The next prime is 127683499. The reversal of 127683472 is 274386721.

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, 6979 + ... + 17437.

It is an arithmetic number, because the mean of its divisors is an integer number (7133720).

Almost surely, 2^127683472 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 127683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142674400).

127683472 is an abundant number, since it is smaller than the sum of its proper divisors (157665328).

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

127683472 is a wasteful number, since it uses less digits than its factorization.

127683472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10577 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 127683472 is about 11299.7111467506. The cubic root of 127683472 is about 503.5526600932.

It can be divided in two parts, 1276 and 83472, that added together give a palindrome (84748).

The spelling of 127683472 in words is "one hundred twenty-seven million, six hundred eighty-three thousand, four hundred seventy-two".