71300800032 has 576 divisors, whose sum is σ = 249963936768. Its totient is φ = 17563392000.

The previous prime is 71300800027. The next prime is 71300800057. The reversal of 71300800032 is 23000800317.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 71300799975 and 71300800011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215410107 + ... + 215410437.

It is an arithmetic number, because the mean of its divisors is an integer number (433965168).

Almost surely, 2^71300800032 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 71300800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124981968384).

71300800032 is an abundant number, since it is smaller than the sum of its proper divisors (178663136736).

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

71300800032 is a wasteful number, since it uses less digits than its factorization.

71300800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 71300800032 in words is "seventy-one billion, three hundred million, eight hundred thousand, thirty-two".