71566625 has 16 divisors (see below), whose sum is σ = 96187728. Its totient is φ = 52848000.

The previous prime is 71566619. The next prime is 71566669. The reversal of 71566625 is 52666517.

It can be written as a sum of positive squares in 8 ways, for example, as 34939921 + 36626704 = 5911^2 + 6052^2 .

It is not a de Polignac number, because 71566625 - 2⁴ = 71566609 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 20396 + ... + 23645.

It is an arithmetic number, because the mean of its divisors is an integer number (6011733).

Almost surely, 2^71566625 is an apocalyptic number.

It is an amenable number.

71566625 is a deficient number, since it is larger than the sum of its proper divisors (24621103).

71566625 is a wasteful number, since it uses less digits than its factorization.

71566625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44069 (or 44059 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 71566625 is about 8459.7059641574. The cubic root of 71566625 is about 415.1804025268.

The spelling of 71566625 in words is "seventy-one million, five hundred sixty-six thousand, six hundred twenty-five".