71256192000 has 704 divisors, whose sum is σ = 276924710400. Its totient is φ = 16257024000.

The previous prime is 71256191957. The next prime is 71256192013. The reversal of 71256192000 is 29165217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131711730 + ... + 131712270.

Almost surely, 2^71256192000 is an apocalyptic number.

71256192000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71256192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138462355200).

71256192000 is an abundant number, since it is smaller than the sum of its proper divisors (205668518400).

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

71256192000 is an equidigital number, since it uses as much as digits as its factorization.

71256192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 71256192000 in words is "seventy-one billion, two hundred fifty-six million, one hundred ninety-two thousand".