71884125 has 96 divisors (see below), whose sum is σ = 142646400. Its totient is φ = 35704800.

The previous prime is 71884117. The next prime is 71884139. The reversal of 71884125 is 52148817.

It is not a de Polignac number, because 71884125 - 2³ = 71884117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71884125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1218346 + ... + 1218404.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^71884125 is an apocalyptic number.

71884125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71884125 is a deficient number, since it is larger than the sum of its proper divisors (70762275).

71884125 is a wasteful number, since it uses less digits than its factorization.

71884125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 71884125 is about 8478.4506249668. The cubic root of 71884125 is about 415.7934691186.

The spelling of 71884125 in words is "seventy-one million, eight hundred eighty-four thousand, one hundred twenty-five".