71505581952 has 256 divisors, whose sum is σ = 223622254080. Its totient is φ = 19816980480.

The previous prime is 71505581941. The next prime is 71505581963. The reversal of 71505581952 is 25918550517.

It is an interprime number because it is at equal distance from previous prime (71505581941) and next prime (71505581963).

It is a super-2 number, since 2×71505581952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39483127 + ... + 39484937.

It is an arithmetic number, because the mean of its divisors is an integer number (873524430).

Almost surely, 2^71505581952 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 71505581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111811127040).

71505581952 is an abundant number, since it is smaller than the sum of its proper divisors (152116672128).

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

71505581952 is a wasteful number, since it uses less digits than its factorization.

71505581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 48.

The spelling of 71505581952 in words is "seventy-one billion, five hundred five million, five hundred eighty-one thousand, nine hundred fifty-two".