71364385092 has 576 divisors, whose sum is σ = 240836198400. Its totient is φ = 15923381760.

The previous prime is 71364385087. The next prime is 71364385093. The reversal of 71364385092 is 29058346317.

It is not an unprimeable number, because it can be changed into a prime (71364385093) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198786409 + ... + 198786767.

It is an arithmetic number, because the mean of its divisors is an integer number (418118400).

It is a 1-persistent number, because it is pandigital, but 2⋅71364385092 = 142728770184 is not.

Almost surely, 2^71364385092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71364385092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120418099200).

71364385092 is an abundant number, since it is smaller than the sum of its proper divisors (169471813308).

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

71364385092 is a wasteful number, since it uses less digits than its factorization.

71364385092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 71364385092 in words is "seventy-one billion, three hundred sixty-four million, three hundred eighty-five thousand, ninety-two".