71824893584472 has 384 divisors, whose sum is σ = 235267261931520. Its totient is φ = 19359924480000.

The previous prime is 71824893584459. The next prime is 71824893584473. The reversal of 71824893584472 is 27448539842817.

71824893584472 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 48 + 9 + 35 + 84 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 71824893584472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71824893584473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833356693 + ... + 833442875.

It is an arithmetic number, because the mean of its divisors is an integer number (612675161280).

Almost surely, 2^{71824893584472} is an apocalyptic number.

71824893584472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71824893584472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117633630965760).

71824893584472 is an abundant number, since it is smaller than the sum of its proper divisors (163442368347048).

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

71824893584472 is a wasteful number, since it uses less digits than its factorization.

71824893584472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87575 (or 87568 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 71824893584472 in words is "seventy-one trillion, eight hundred twenty-four billion, eight hundred ninety-three million, five hundred eighty-four thousand, four hundred seventy-two".