75105322557072 has 320 divisors, whose sum is σ = 211227483075840. Its totient is φ = 22983140253696.

The previous prime is 75105322556989. The next prime is 75105322557077. The reversal of 75105322557072 is 27075522350157.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (75105322557077) 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 63 ways as a sum of consecutive naturals, for example, 8081919658 + ... + 8081928950.

It is an arithmetic number, because the mean of its divisors is an integer number (660085884612).

Almost surely, 2^{75105322557072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75105322557072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613741537920).

75105322557072 is an abundant number, since it is smaller than the sum of its proper divisors (136122160518768).

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

75105322557072 is a wasteful number, since it uses less digits than its factorization.

75105322557072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 5145000, while the sum is 51.

The spelling of 75105322557072 in words is "seventy-five trillion, one hundred five billion, three hundred twenty-two million, five hundred fifty-seven thousand, seventy-two".