71865360000 has 1280 divisors, whose sum is σ = 312275040000. Its totient is φ = 16257024000.

The previous prime is 71865359933. The next prime is 71865360059. The reversal of 71865360000 is 6356817.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 740879952 + ... + 740880048.

It is an arithmetic number, because the mean of its divisors is an integer number (243964875).

Almost surely, 2^71865360000 is an apocalyptic number.

71865360000 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 71865360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156137520000).

71865360000 is an abundant number, since it is smaller than the sum of its proper divisors (240409680000).

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

71865360000 is an frugal number, since it uses more digits than its factorization.

71865360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 71865360000 in words is "seventy-one billion, eight hundred sixty-five million, three hundred sixty thousand".