71017452000 has 384 divisors, whose sum is σ = 282008563200. Its totient is φ = 17216064000.

The previous prime is 71017451971. The next prime is 71017452007. The reversal of 71017452000 is 25471017.

71017452000 is a `hidden beast` number, since 71 + 0 + 1 + 74 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71017452007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158111 + ... + 1217889.

It is an arithmetic number, because the mean of its divisors is an integer number (734397300).

Almost surely, 2^71017452000 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 71017452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004281600).

71017452000 is an abundant number, since it is smaller than the sum of its proper divisors (210991111200).

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

71017452000 is a wasteful number, since it uses less digits than its factorization.

71017452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59824 (or 59800 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 71017452000 in words is "seventy-one billion, seventeen million, four hundred fifty-two thousand".