127983072 has 144 divisors (see below), whose sum is σ = 408481920. Its totient is φ = 34363392.

The previous prime is 127983049. The next prime is 127983073. The reversal of 127983072 is 270389721.

It is a self number, because there is not a number n which added to its sum of digits gives 127983072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127983073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193879 + ... + 194537.

It is an arithmetic number, because the mean of its divisors is an integer number (2836680).

Almost surely, 2^127983072 is an apocalyptic number.

127983072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127983072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204240960).

127983072 is an abundant number, since it is smaller than the sum of its proper divisors (280498848).

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

127983072 is a wasteful number, since it uses less digits than its factorization.

127983072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 127983072 is about 11312.9603552739. The cubic root of 127983072 is about 503.9462023706.

The spelling of 127983072 in words is "one hundred twenty-seven million, nine hundred eighty-three thousand, seventy-two".