71229543840 has 1728 divisors, whose sum is σ = 330650087040. Its totient is φ = 13795246080.

The previous prime is 71229543811. The next prime is 71229543863. The reversal of 71229543840 is 4834592217.

71229543840 is a `hidden beast` number, since 7 + 1 + 2 + 29 + 543 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1063127487 + ... + 1063127553.

It is an arithmetic number, because the mean of its divisors is an integer number (191348430).

Almost surely, 2^71229543840 is an apocalyptic number.

71229543840 is a gapful number since it is divisible by the number (70) 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 71229543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165325043520).

71229543840 is an abundant number, since it is smaller than the sum of its proper divisors (259420543200).

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

71229543840 is a wasteful number, since it uses less digits than its factorization.

71229543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71229543840 in words is "seventy-one billion, two hundred twenty-nine million, five hundred forty-three thousand, eight hundred forty".