72128580125751 has 24 divisors (see below), whose sum is σ = 105907957159680. Its totient is φ = 47296502035200.

The previous prime is 72128580125729. The next prime is 72128580125753. The reversal of 72128580125751 is 15752108582127.

72128580125751 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 8 + 58 + 0 + 12 + 575 + 1 = 666.

It is not a de Polignac number, because 72128580125751 - 2¹⁴ = 72128580109367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128580125753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235575190 + ... + 235881171.

It is an arithmetic number, because the mean of its divisors is an integer number (4412831548320).

Almost surely, 2^{72128580125751} is an apocalyptic number.

72128580125751 is a deficient number, since it is larger than the sum of its proper divisors (33779377033929).

72128580125751 is a wasteful number, since it uses less digits than its factorization.

72128580125751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471456647 (or 471456644 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 54.

The spelling of 72128580125751 in words is "seventy-two trillion, one hundred twenty-eight billion, five hundred eighty million, one hundred twenty-five thousand, seven hundred fifty-one".