72127056768 has 128 divisors (see below), whose sum is σ = 206571281280. Its totient is φ = 22166452224.

The previous prime is 72127056767. The next prime is 72127056791. The reversal of 72127056768 is 86765072127.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 72127056768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72127056767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399755 + ... + 4416117.

It is an arithmetic number, because the mean of its divisors is an integer number (1613838135).

Almost surely, 2^72127056768 is an apocalyptic number.

72127056768 is a gapful number since it is divisible by the number (78) 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 72127056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103285640640).

72127056768 is an abundant number, since it is smaller than the sum of its proper divisors (134444224512).

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

72127056768 is a wasteful number, since it uses less digits than its factorization.

72127056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17276 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 72127056768 in words is "seventy-two billion, one hundred twenty-seven million, fifty-six thousand, seven hundred sixty-eight".