71713714400 has 144 divisors (see below), whose sum is σ = 179502667344. Its totient is φ = 27962081280.

The previous prime is 71713714351. The next prime is 71713714489. The reversal of 71713714400 is 441731717.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19846994 + ... + 19850606.

It is an arithmetic number, because the mean of its divisors is an integer number (1246546301).

Almost surely, 2^71713714400 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 71713714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89751333672).

71713714400 is an abundant number, since it is smaller than the sum of its proper divisors (107788952944).

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

71713714400 is a wasteful number, since it uses less digits than its factorization.

71713714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 71713714400 in words is "seventy-one billion, seven hundred thirteen million, seven hundred fourteen thousand, four hundred".