127712000 has 144 divisors (see below), whose sum is σ = 343735392. Its totient is φ = 47001600.

The previous prime is 127711993. The next prime is 127712029. The reversal of 127712000 is 217721.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 415847 + ... + 416153.

Almost surely, 2^127712000 is an apocalyptic number.

127712000 is a gapful number since it is divisible by the number (10) 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 127712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171867696).

127712000 is an abundant number, since it is smaller than the sum of its proper divisors (216023392).

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

127712000 is an equidigital number, since it uses as much as digits as its factorization.

127712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 127712000 is about 11300.9734094015. The cubic root of 127712000 is about 503.5901598059.

Adding to 127712000 its reverse (217721), we get a palindrome (127929721).

The spelling of 127712000 in words is "one hundred twenty-seven million, seven hundred twelve thousand".