75116160 has 448 divisors, whose sum is σ = 321079680. Its totient is φ = 16422912.

The previous prime is 75116159. The next prime is 75116189. The reversal of 75116160 is 6161157.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 3265909 + ... + 3265931.

Almost surely, 2^75116160 is an apocalyptic number.

75116160 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 75116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160539840).

75116160 is an abundant number, since it is smaller than the sum of its proper divisors (245963520).

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

75116160 is an equidigital number, since it uses as much as digits as its factorization.

75116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 75116160 is about 8666.9579438232. The cubic root of 75116160 is about 421.9339384322.

The spelling of 75116160 in words is "seventy-five million, one hundred sixteen thousand, one hundred sixty".