71065350720 has 504 divisors, whose sum is σ = 306223425144. Its totient is φ = 14993620992.

The previous prime is 71065350673. The next prime is 71065350793. The reversal of 71065350720 is 2705356017.

71065350720 is a `hidden beast` number, since 71 + 0 + 65 + 3 + 507 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874266624 + 70191084096 = 29568^2 + 264936^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1815192 + ... + 1853928.

It is an arithmetic number, because the mean of its divisors is an integer number (607586161).

Almost surely, 2^71065350720 is an apocalyptic number.

71065350720 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 71065350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153111712572).

71065350720 is an abundant number, since it is smaller than the sum of its proper divisors (235158074424).

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

71065350720 is a wasteful number, since it uses less digits than its factorization.

71065350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38787 (or 38767 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 71065350720 in words is "seventy-one billion, sixty-five million, three hundred fifty thousand, seven hundred twenty".