75383568 has 160 divisors (see below), whose sum is σ = 241095680. Its totient is φ = 22394880.

The previous prime is 75383563. The next prime is 75383569. The reversal of 75383568 is 86538357.

75383568 is a `hidden beast` number, since 7 + 5 + 3 + 83 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (75383563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173880 + ... + 174312.

It is an arithmetic number, because the mean of its divisors is an integer number (1506848).

Almost surely, 2^75383568 is an apocalyptic number.

75383568 is a gapful number since it is divisible by the number (78) 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 75383568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120547840).

75383568 is an abundant number, since it is smaller than the sum of its proper divisors (165712112).

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

75383568 is a wasteful number, since it uses less digits than its factorization.

75383568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 75383568 is about 8682.3711047156. The cubic root of 75383568 is about 422.4340300579.

The spelling of 75383568 in words is "seventy-five million, three hundred eighty-three thousand, five hundred sixty-eight".