127638475272 has 768 divisors, whose sum is σ = 476195328000. Its totient is φ = 30916131840.

The previous prime is 127638475271. The next prime is 127638475297. The reversal of 127638475272 is 272574836721.

It is a happy number.

127638475272 is a `hidden beast` number, since 1 + 2 + 76 + 3 + 8 + 47 + 527 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127638475271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253754173 + ... + 253754675.

It is an arithmetic number, because the mean of its divisors is an integer number (620046000).

Almost surely, 2^127638475272 is an apocalyptic number.

127638475272 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 127638475272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238097664000).

127638475272 is an abundant number, since it is smaller than the sum of its proper divisors (348556852728).

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

127638475272 is a wasteful number, since it uses less digits than its factorization.

127638475272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 127638475272 in words is "one hundred twenty-seven billion, six hundred thirty-eight million, four hundred seventy-five thousand, two hundred seventy-two".