75145823695872 has 528 divisors, whose sum is σ = 225001991410560. Its totient is φ = 24139254988800.

The previous prime is 75145823695871. The next prime is 75145823695903. The reversal of 75145823695872 is 27859632854157.

75145823695872 is a `hidden beast` number, since 7 + 5 + 1 + 4 + 5 + 8 + 2 + 36 + 9 + 587 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 75145823695872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75145823695871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13278990579 + ... + 13278996237.

Almost surely, 2^{75145823695872} is an apocalyptic number.

75145823695872 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 75145823695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112500995705280).

75145823695872 is an abundant number, since it is smaller than the sum of its proper divisors (149856167714688).

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

75145823695872 is a wasteful number, since it uses less digits than its factorization.

75145823695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6129 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 72.

The spelling of 75145823695872 in words is "seventy-five trillion, one hundred forty-five billion, eight hundred twenty-three million, six hundred ninety-five thousand, eight hundred seventy-two".