127999872 has 512 divisors, whose sum is σ = 520934400. Its totient is φ = 29859840.

The previous prime is 127999867. The next prime is 127999873. The reversal of 127999872 is 278999721.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127999873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459438 + ... + 3459474.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^127999872 is an apocalyptic number.

127999872 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 127999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

127999872 is an abundant number, since it is smaller than the sum of its proper divisors (392934528).

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

127999872 is a wasteful number, since it uses less digits than its factorization.

127999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 127999872 is about 11313.7028421291. The cubic root of 127999872 is about 503.9682519684.

It can be divided in two parts, 127 and 999872, that added together give a palindrome (999999).

The spelling of 127999872 in words is "one hundred twenty-seven million, nine hundred ninety-nine thousand, eight hundred seventy-two".