75600420072012 has 144 divisors (see below), whose sum is σ = 213883519973760. Its totient is φ = 22321625356800.

The previous prime is 75600420071977. The next prime is 75600420072013. The reversal of 75600420072012 is 21027002400657.

It is a happy number.

75600420072012 is a `hidden beast` number, since 7 + 5 + 600 + 4 + 20 + 0 + 7 + 20 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75600420072013) 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 47 ways as a sum of consecutive naturals, for example, 11677414 + ... + 16957677.

It is an arithmetic number, because the mean of its divisors is an integer number (1485302222040).

Almost surely, 2^{75600420072012} is an apocalyptic number.

It is an amenable number.

75600420072012 is an abundant number, since it is smaller than the sum of its proper divisors (138283099901748).

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

75600420072012 is a wasteful number, since it uses less digits than its factorization.

75600420072012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28635284 (or 28635279 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 75600420072012 its reverse (21027002400657), we get a palindrome (96627422472669).

The spelling of 75600420072012 in words is "seventy-five trillion, six hundred billion, four hundred twenty million, seventy-two thousand, twelve".