75352791312 has 120 divisors (see below), whose sum is σ = 224458490880. Its totient is φ = 23516175360.

The previous prime is 75352791301. The next prime is 75352791317. The reversal of 75352791312 is 21319725357.

75352791312 is a `hidden beast` number, since 7 + 5 + 3 + 527 + 91 + 31 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (75352791317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386989 + ... + 548147.

It is an arithmetic number, because the mean of its divisors is an integer number (1870487424).

Almost surely, 2^75352791312 is an apocalyptic number.

75352791312 is a gapful number since it is divisible by the number (72) 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 75352791312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112229245440).

75352791312 is an abundant number, since it is smaller than the sum of its proper divisors (149105699568).

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

75352791312 is a wasteful number, since it uses less digits than its factorization.

75352791312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161381 (or 161372 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The spelling of 75352791312 in words is "seventy-five billion, three hundred fifty-two million, seven hundred ninety-one thousand, three hundred twelve".