75772616121 has 12 divisors (see below), whose sum is σ = 115887530772. Its totient is φ = 47543602176.

The previous prime is 75772616119. The next prime is 75772616147. The reversal of 75772616121 is 12161627757.

75772616121 is a `hidden beast` number, since 7 + 5 + 7 + 7 + 2 + 616 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56489405625 + 19283210496 = 237675^2 + 138864^2 .

It is not a de Polignac number, because 75772616121 - 2¹ = 75772616119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75772614121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 247622776 + ... + 247623081.

It is an arithmetic number, because the mean of its divisors is an integer number (9657294231).

Almost surely, 2^75772616121 is an apocalyptic number.

It is an amenable number.

75772616121 is a deficient number, since it is larger than the sum of its proper divisors (40114914651).

75772616121 is a wasteful number, since it uses less digits than its factorization.

75772616121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495245880 (or 495245877 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 75772616121 in words is "seventy-five billion, seven hundred seventy-two million, six hundred sixteen thousand, one hundred twenty-one".