75432750120 has 1344 divisors, whose sum is σ = 331580874240. Its totient is φ = 15284505600.

The previous prime is 75432750103. The next prime is 75432750139. The reversal of 75432750120 is 2105723457.

75432750120 is a `hidden beast` number, since 75 + 43 + 27 + 501 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 575822455 + ... + 575822585.

It is an arithmetic number, because the mean of its divisors is an integer number (246711960).

Almost surely, 2^75432750120 is an apocalyptic number.

75432750120 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 75432750120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165790437120).

75432750120 is an abundant number, since it is smaller than the sum of its proper divisors (256148124120).

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

75432750120 is a wasteful number, since it uses less digits than its factorization.

75432750120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 75432750120 in words is "seventy-five billion, four hundred thirty-two million, seven hundred fifty thousand, one hundred twenty".