75668544 has 168 divisors, whose sum is σ = 253593600. Its totient is φ = 21563136.

The previous prime is 75668533. The next prime is 75668573. The reversal of 75668544 is 44586657.

75668544 is a `hidden beast` number, since 7 + 566 + 85 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 75668544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197377 + ... + 197759.

Almost surely, 2^75668544 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 75668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126796800).

75668544 is an abundant number, since it is smaller than the sum of its proper divisors (177925056).

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

75668544 is a wasteful number, since it uses less digits than its factorization.

75668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 75668544 is about 8698.7668091517. The cubic root of 75668544 is about 422.9656763391.

It can be divided in two parts, 7566 and 8544, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 75668544 in words is "seventy-five million, six hundred sixty-eight thousand, five hundred forty-four".