71056125 has 72 divisors (see below), whose sum is σ = 149118840. Its totient is φ = 32457600.

The previous prime is 71056109. The next prime is 71056129. The reversal of 71056125 is 52165017.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 70913241 = 378^2 + 8421^2 .

It is not a de Polignac number, because 71056125 - 2⁴ = 71056109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71056129) 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, 54481 + ... + 55769.

It is an arithmetic number, because the mean of its divisors is an integer number (2071095).

Almost surely, 2^71056125 is an apocalyptic number.

71056125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71056125 is an abundant number, since it is smaller than the sum of its proper divisors (78062715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71056125 is a wasteful number, since it uses less digits than its factorization.

71056125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 71056125 is about 8429.4795212990. The cubic root of 71056125 is about 414.1908557805.

The spelling of 71056125 in words is "seventy-one million, fifty-six thousand, one hundred twenty-five".