75564909 has 54 divisors (see below), whose sum is σ = 131531946. Its totient is φ = 41670720.

The previous prime is 75564883. The next prime is 75564917. The reversal of 75564909 is 90946557.

It is a happy number.

75564909 is a `hidden beast` number, since 7 + 556 + 4 + 90 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7452900 + 68112009 = 2730^2 + 8253^2 .

It is not a de Polignac number, because 75564909 - 2¹⁵ = 75532141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75564509) 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 53 ways as a sum of consecutive naturals, for example, 1238739 + ... + 1238799.

Almost surely, 2^75564909 is an apocalyptic number.

It is an amenable number.

75564909 is a deficient number, since it is larger than the sum of its proper divisors (55967037).

75564909 is a wasteful number, since it uses less digits than its factorization.

75564909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 75564909 is about 8692.8078892841. The cubic root of 75564909 is about 422.7724913758.

The spelling of 75564909 in words is "seventy-five million, five hundred sixty-four thousand, nine hundred nine".