127352712 has 64 divisors (see below), whose sum is σ = 348019200. Its totient is φ = 38661120.

The previous prime is 127352711. The next prime is 127352723. The reversal of 127352712 is 217253721.

It is a self number, because there is not a number n which added to its sum of digits gives 127352712.

It is not an unprimeable number, because it can be changed into a prime (127352711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7614 + ... + 17682.

It is an arithmetic number, because the mean of its divisors is an integer number (5437800).

Almost surely, 2^127352712 is an apocalyptic number.

127352712 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 127352712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174009600).

127352712 is an abundant number, since it is smaller than the sum of its proper divisors (220666488).

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

127352712 is a wasteful number, since it uses less digits than its factorization.

127352712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10122 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 127352712 is about 11285.0658837244. The cubic root of 127352712 is about 503.1174716773.

The spelling of 127352712 in words is "one hundred twenty-seven million, three hundred fifty-two thousand, seven hundred twelve".