127065722016072 has 48 divisors (see below), whose sum is σ = 369527865050160. Its totient is φ = 36304492004256.

The previous prime is 127065722016071. The next prime is 127065722016083. The reversal of 127065722016072 is 270610227560721.

It is a happy number.

It is a super-2 number, since 2×127065722016072² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127065722016071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54024540498 + ... + 54024542849.

It is an arithmetic number, because the mean of its divisors is an integer number (7698497188545).

Almost surely, 2^{127065722016072} is an apocalyptic number.

127065722016072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127065722016072 is an abundant number, since it is smaller than the sum of its proper divisors (242462143034088).

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

127065722016072 is a wasteful number, since it uses less digits than its factorization.

127065722016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108049083370 (or 108049083359 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

Adding to 127065722016072 its reverse (270610227560721), we get a palindrome (397675949576793).

The spelling of 127065722016072 in words is "one hundred twenty-seven trillion, sixty-five billion, seven hundred twenty-two million, sixteen thousand, seventy-two".