75564160 has 128 divisors (see below), whose sum is σ = 209744640. Its totient is φ = 25497600.

The previous prime is 75564127. The next prime is 75564163. The reversal of 75564160 is 6146557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (75564163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452397 + ... + 452563.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 2^75564160 is an apocalyptic number.

75564160 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 75564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

75564160 is an abundant number, since it is smaller than the sum of its proper divisors (134180480).

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

75564160 is a wasteful number, since it uses less digits than its factorization.

75564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 75564160 is about 8692.7648075857. The cubic root of 75564160 is about 422.7710945297.

The spelling of 75564160 in words is "seventy-five million, five hundred sixty-four thousand, one hundred sixty".