71713382400 has 1008 divisors, whose sum is σ = 292827382848. Its totient is φ = 17252352000.

The previous prime is 71713382399. The next prime is 71713382407. The reversal of 71713382400 is 428331717.

71713382400 is a `hidden beast` number, since 7 + 171 + 3 + 3 + 82 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71713382407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547430335 + ... + 547430465.

It is an arithmetic number, because the mean of its divisors is an integer number (290503356).

Almost surely, 2^71713382400 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 71713382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146413691424).

71713382400 is an abundant number, since it is smaller than the sum of its proper divisors (221114000448).

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

71713382400 is a wasteful number, since it uses less digits than its factorization.

71713382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71713382400 in words is "seventy-one billion, seven hundred thirteen million, three hundred eighty-two thousand, four hundred".