71938125 has 150 divisors (see below), whose sum is σ = 161596710. Its totient is φ = 31752000.

The previous prime is 71938121. The next prime is 71938157. The reversal of 71938125 is 52183917.

It can be written as a sum of positive squares in 5 ways, for example, as 27342441 + 44595684 = 5229^2 + 6678^2 .

It is not a de Polignac number, because 71938125 - 2² = 71938121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71938125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71938121) by changing a digit.

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 149 ways as a sum of consecutive naturals, for example, 2480611 + ... + 2480639.

Almost surely, 2^71938125 is an apocalyptic number.

71938125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71938125 is an abundant number, since it is smaller than the sum of its proper divisors (89658585).

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

71938125 is an equidigital number, since it uses as much as digits as its factorization.

71938125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 71938125 is about 8481.6345712368. The cubic root of 71938125 is about 415.8975589874.

The spelling of 71938125 in words is "seventy-one million, nine hundred thirty-eight thousand, one hundred twenty-five".