127727712 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 36408960.

The previous prime is 127727711. The next prime is 127727741. The reversal of 127727712 is 217727721.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127727711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296137 + ... + 296567.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^127727712 is an apocalyptic number.

127727712 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 127727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

127727712 is an abundant number, since it is smaller than the sum of its proper divisors (307728288).

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

127727712 is an equidigital number, since it uses as much as digits as its factorization.

127727712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 443 counting only the distinct ones).

The product of its digits is 19208, while the sum is 36.

The square root of 127727712 is about 11301.6685493780. The cubic root of 127727712 is about 503.6108106560.

Subtracting 127727712 from its reverse (217727721), we obtain a palindrome (90000009).

The spelling of 127727712 in words is "one hundred twenty-seven million, seven hundred twenty-seven thousand, seven hundred twelve".