71085792 has 24 divisors (see below), whose sum is σ = 186600456. Its totient is φ = 23695232.

The previous prime is 71085691. The next prime is 71085793. The reversal of 71085792 is 29758017.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×71085792³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71085792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71085793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370143 + ... + 370334.

It is an arithmetic number, because the mean of its divisors is an integer number (7775019).

Almost surely, 2^71085792 is an apocalyptic number.

It is an amenable number.

71085792 is an abundant number, since it is smaller than the sum of its proper divisors (115514664).

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

71085792 is a wasteful number, since it uses less digits than its factorization.

71085792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740490 (or 740482 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 71085792 is about 8431.2390548483. The cubic root of 71085792 is about 414.2484913955.

The spelling of 71085792 in words is "seventy-one million, eighty-five thousand, seven hundred ninety-two".