71164125 has 72 divisors (see below), whose sum is σ = 138094632. Its totient is φ = 35136000.

The previous prime is 71164111. The next prime is 71164129. The reversal of 71164125 is 52146117.

It is a happy number.

71164125 is a `hidden beast` number, since 7 + 11 + 641 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 70207641 + 956484 = 8379^2 + 978^2 .

It is not a de Polignac number, because 71164125 - 2⁹ = 71163613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71164129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166595 + ... + 1166655.

It is an arithmetic number, because the mean of its divisors is an integer number (1917981).

Almost surely, 2^71164125 is an apocalyptic number.

71164125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71164125 is a deficient number, since it is larger than the sum of its proper divisors (66930507).

71164125 is a wasteful number, since it uses less digits than its factorization.

71164125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 86 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71164125 is about 8435.8831784230. The cubic root of 71164125 is about 414.4005959360.

It can be divided in two parts, 71164 and 125, that added together give a square (71289 = 267²).

The spelling of 71164125 in words is "seventy-one million, one hundred sixty-four thousand, one hundred twenty-five".