127712160 has 384 divisors, whose sum is σ = 496419840. Its totient is φ = 30523392.

The previous prime is 127712147. The next prime is 127712161. The reversal of 127712160 is 61217721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127712161) 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, 2717257 + ... + 2717303.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^127712160 is an apocalyptic number.

127712160 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 127712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

127712160 is an abundant number, since it is smaller than the sum of its proper divisors (368707680).

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

127712160 is a wasteful number, since it uses less digits than its factorization.

127712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 127712160 is about 11300.9804884355. The cubic root of 127712160 is about 503.5903701082.

Adding to 127712160 its reverse (61217721), we get a palindrome (188929881).

The spelling of 127712160 in words is "one hundred twenty-seven million, seven hundred twelve thousand, one hundred sixty".