71382708000 has 1152 divisors, whose sum is σ = 285733453824. Its totient is φ = 17449344000.

The previous prime is 71382707999. The next prime is 71382708037. The reversal of 71382708000 is 80728317.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693035949 + ... + 693036051.

It is an arithmetic number, because the mean of its divisors is an integer number (248032512).

Almost surely, 2^71382708000 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 71382708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142866726912).

71382708000 is an abundant number, since it is smaller than the sum of its proper divisors (214350745824).

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

71382708000 is a wasteful number, since it uses less digits than its factorization.

71382708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 71382708000 in words is "seventy-one billion, three hundred eighty-two million, seven hundred eight thousand".