127530783072 has 480 divisors, whose sum is σ = 471079445760. Its totient is φ = 32879416320.

The previous prime is 127530783049. The next prime is 127530783089. The reversal of 127530783072 is 270387035721.

It is a happy number.

127530783072 is a `hidden beast` number, since 1 + 275 + 3 + 0 + 78 + 307 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27739878 + ... + 27744474.

It is an arithmetic number, because the mean of its divisors is an integer number (981415512).

Almost surely, 2^127530783072 is an apocalyptic number.

127530783072 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 127530783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235539722880).

127530783072 is an abundant number, since it is smaller than the sum of its proper divisors (343548662688).

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

127530783072 is a wasteful number, since it uses less digits than its factorization.

127530783072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 127530783072 in words is "one hundred twenty-seven billion, five hundred thirty million, seven hundred eighty-three thousand, seventy-two".