127712604 has 48 divisors (see below), whose sum is σ = 322179200. Its totient is φ = 39237696.

The previous prime is 127712593. The next prime is 127712617. The reversal of 127712604 is 406217721.

It is a super-3 number, since 3×127712604³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867 + ... + 16005.

Almost surely, 2^127712604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127712604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161089600).

127712604 is an abundant number, since it is smaller than the sum of its proper divisors (194466596).

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

127712604 is a wasteful number, since it uses less digits than its factorization.

127712604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 127712604 is about 11301.0001327316. Note that the first 3 decimals coincide. The cubic root of 127712604 is about 503.5909536962.

The spelling of 127712604 in words is "one hundred twenty-seven million, seven hundred twelve thousand, six hundred four".