71258209920 has 512 divisors, whose sum is σ = 269830310400. Its totient is φ = 17728634880.

The previous prime is 71258209859. The next prime is 71258209927. The reversal of 71258209920 is 2990285217.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (71258209927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16292854 + ... + 16297226.

It is an arithmetic number, because the mean of its divisors is an integer number (527012325).

Almost surely, 2^71258209920 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 71258209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134915155200).

71258209920 is an abundant number, since it is smaller than the sum of its proper divisors (198572100480).

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

71258209920 is a wasteful number, since it uses less digits than its factorization.

71258209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71258209920 in words is "seventy-one billion, two hundred fifty-eight million, two hundred nine thousand, nine hundred twenty".