75798952371072 has 384 divisors, whose sum is σ = 260840672755200. Its totient is φ = 21606574832640.

The previous prime is 75798952371053. The next prime is 75798952371101. The reversal of 75798952371072 is 27017325989757.

It is a happy number.

75798952371072 is a `hidden beast` number, since 7 + 5 + 7 + 9 + 89 + 523 + 7 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72468003 + ... + 73506525.

It is an arithmetic number, because the mean of its divisors is an integer number (679272585300).

Almost surely, 2^{75798952371072} is an apocalyptic number.

75798952371072 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 75798952371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130420336377600).

75798952371072 is an abundant number, since it is smaller than the sum of its proper divisors (185041720384128).

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

75798952371072 is a wasteful number, since it uses less digits than its factorization.

75798952371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038991 (or 1038966 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 72.

The spelling of 75798952371072 in words is "seventy-five trillion, seven hundred ninety-eight billion, nine hundred fifty-two million, three hundred seventy-one thousand, seventy-two".