71657201 has 16 divisors (see below), whose sum is σ = 89945088. Its totient is φ = 55458000.

The previous prime is 71657171. The next prime is 71657207. The reversal of 71657201 is 10275617.

It is a cyclic number.

It is not a de Polignac number, because 71657201 - 2¹⁰ = 71656177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71657207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8546 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (5621568).

Almost surely, 2^71657201 is an apocalyptic number.

It is an amenable number.

71657201 is a deficient number, since it is larger than the sum of its proper divisors (18287887).

71657201 is a wasteful number, since it uses less digits than its factorization.

71657201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 71657201 is about 8465.0576489472. The cubic root of 71657201 is about 415.3554819329.

The spelling of 71657201 in words is "seventy-one million, six hundred fifty-seven thousand, two hundred one".