71854730304 has 112 divisors (see below), whose sum is σ = 218049384576. Its totient is φ = 20456755200.

The previous prime is 71854730293. The next prime is 71854730329. The reversal of 71854730304 is 40303745817.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 282534 + ... + 472794.

Almost surely, 2^71854730304 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 71854730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109024692288).

71854730304 is an abundant number, since it is smaller than the sum of its proper divisors (146194654272).

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

71854730304 is a wasteful number, since it uses less digits than its factorization.

71854730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190564 (or 190554 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 71854730304 in words is "seventy-one billion, eight hundred fifty-four million, seven hundred thirty thousand, three hundred four".