71233536000 has 1024 divisors, whose sum is σ = 282658222080. Its totient is φ = 15728640000.

The previous prime is 71233535981. The next prime is 71233536007. The reversal of 71233536000 is 63533217.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71233536007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297855985 + ... + 2297856015.

It is an arithmetic number, because the mean of its divisors is an integer number (276033420).

Almost surely, 2^71233536000 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 71233536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329111040).

71233536000 is an abundant number, since it is smaller than the sum of its proper divisors (211424686080).

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

71233536000 is a wasteful number, since it uses less digits than its factorization.

71233536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The spelling of 71233536000 in words is "seventy-one billion, two hundred thirty-three million, five hundred thirty-six thousand".