71643825 has 48 divisors (see below), whose sum is σ = 143592000. Its totient is φ = 34732800.

The previous prime is 71643809. The next prime is 71643853. The reversal of 71643825 is 52834617.

71643825 is a `hidden beast` number, since 7 + 1 + 643 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 71643825 - 2⁴ = 71643809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71643825.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2601 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (2991500).

Almost surely, 2^71643825 is an apocalyptic number.

71643825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71643825 is an abundant number, since it is smaller than the sum of its proper divisors (71948175).

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

71643825 is a wasteful number, since it uses less digits than its factorization.

71643825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9668 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71643825 is about 8464.2675406677. The cubic root of 71643825 is about 415.3296360045.

The spelling of 71643825 in words is "seventy-one million, six hundred forty-three thousand, eight hundred twenty-five".