71397126720 has 336 divisors, whose sum is σ = 254501465088. Its totient is φ = 18352189440.

The previous prime is 71397126679. The next prime is 71397126737. The reversal of 71397126720 is 2762179317.

71397126720 is a `hidden beast` number, since 71 + 397 + 126 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24729117 + ... + 24732003.

Almost surely, 2^71397126720 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 71397126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127250732544).

71397126720 is an abundant number, since it is smaller than the sum of its proper divisors (183104338368).

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

71397126720 is a wasteful number, since it uses less digits than its factorization.

71397126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 71397126720 in words is "seventy-one billion, three hundred ninety-seven million, one hundred twenty-six thousand, seven hundred twenty".