71999262720 has 1664 divisors, whose sum is σ = 339697152000. Its totient is φ = 14014218240.

The previous prime is 71999262719. The next prime is 71999262749. The reversal of 71999262720 is 2726299917.

71999262720 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 9 + 2 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 808980436 + ... + 808980524.

Almost surely, 2^71999262720 is an apocalyptic number.

71999262720 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 71999262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169848576000).

71999262720 is an abundant number, since it is smaller than the sum of its proper divisors (267697889280).

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

71999262720 is a wasteful number, since it uses less digits than its factorization.

71999262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 71999262720 in words is "seventy-one billion, nine hundred ninety-nine million, two hundred sixty-two thousand, seven hundred twenty".