75709985 has 16 divisors (see below), whose sum is σ = 100230480. Its totient is φ = 54543360.

The previous prime is 75709973. The next prime is 75710053. The reversal of 75709985 is 58990757.

It can be written as a sum of positive squares in 8 ways, for example, as 15864289 + 59845696 = 3983^2 + 7736^2 .

It is not a de Polignac number, because 75709985 - 2²⁰ = 74661409 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11540 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (6264405).

It is the magic constant of a 533 × 533 magic square.

Almost surely, 2^75709985 is an apocalyptic number.

It is an amenable number.

75709985 is a deficient number, since it is larger than the sum of its proper divisors (24520495).

75709985 is a wasteful number, since it uses less digits than its factorization.

75709985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28468.

The product of its (nonzero) digits is 793800, while the sum is 50.

The square root of 75709985 is about 8701.1484874125. The cubic root of 75709985 is about 423.0428767220.

The spelling of 75709985 in words is "seventy-five million, seven hundred nine thousand, nine hundred eighty-five".