127866160072 has 96 divisors (see below), whose sum is σ = 290468868480. Its totient is φ = 51678063360.

The previous prime is 127866160069. The next prime is 127866160091. The reversal of 127866160072 is 270061668721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2072908 + ... + 2133700.

It is an arithmetic number, because the mean of its divisors is an integer number (3025717380).

Almost surely, 2^127866160072 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 127866160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145234434240).

127866160072 is an abundant number, since it is smaller than the sum of its proper divisors (162602708408).

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

127866160072 is a wasteful number, since it uses less digits than its factorization.

127866160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60923 (or 60896 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 127866160072 in words is "one hundred twenty-seven billion, eight hundred sixty-six million, one hundred sixty thousand, seventy-two".