75568140 has 168 divisors, whose sum is σ = 244587168. Its totient is φ = 19595520.

The previous prime is 75568127. The next prime is 75568217. The reversal of 75568140 is 4186557.

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

It is a junction number, because it is equal to n+sod(n) for n = 75568095 and 75568104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1035144 + ... + 1035216.

It is an arithmetic number, because the mean of its divisors is an integer number (1455876).

Almost surely, 2^75568140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75568140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122293584).

75568140 is an abundant number, since it is smaller than the sum of its proper divisors (169019028).

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

75568140 is a wasteful number, since it uses less digits than its factorization.

75568140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75568140 is about 8692.9937305856. The cubic root of 75568140 is about 422.7785169171.

The spelling of 75568140 in words is "seventy-five million, five hundred sixty-eight thousand, one hundred forty".