75272416128000 has 7920 divisors, whose sum is σ = 387941614467264. Its totient is φ = 14160730521600.

The previous prime is 75272416127977. The next prime is 75272416128073. The reversal of 75272416128000 is 82161427257.

75272416128000 is a `hidden beast` number, since 7 + 5 + 2 + 7 + 24 + 1 + 612 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3961706111991 + ... + 3961706112009.

Almost surely, 2^{75272416128000} is an apocalyptic number.

75272416128000 is a gapful number since it is divisible by the number (70) 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 75272416128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193970807233632).

75272416128000 is an abundant number, since it is smaller than the sum of its proper divisors (312669198339264).

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

75272416128000 is a wasteful number, since it uses less digits than its factorization.

75272416128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75272416128000 in words is "seventy-five trillion, two hundred seventy-two billion, four hundred sixteen million, one hundred twenty-eight thousand".