71709417000 has 768 divisors, whose sum is σ = 285537208320. Its totient is φ = 16063488000.

The previous prime is 71709416963. The next prime is 71709417001. The reversal of 71709417000 is 71490717.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71709417001) 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 191 ways as a sum of consecutive naturals, for example, 61658419 + ... + 61659581.

It is an arithmetic number, because the mean of its divisors is an integer number (371793240).

Almost surely, 2^71709417000 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 71709417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142768604160).

71709417000 is an abundant number, since it is smaller than the sum of its proper divisors (213827791320).

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

71709417000 is a wasteful number, since it uses less digits than its factorization.

71709417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 71709417000 in words is "seventy-one billion, seven hundred nine million, four hundred seventeen thousand".