71632539000 has 1024 divisors, whose sum is σ = 284663808000. Its totient is φ = 16511040000.

The previous prime is 71632538947. The next prime is 71632539007. The reversal of 71632539000 is 93523617.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71632539007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 906740961 + ... + 906741039.

It is an arithmetic number, because the mean of its divisors is an integer number (277992000).

Almost surely, 2^71632539000 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 71632539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142331904000).

71632539000 is an abundant number, since it is smaller than the sum of its proper divisors (213031269000).

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

71632539000 is a wasteful number, since it uses less digits than its factorization.

71632539000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 71632539000 in words is "seventy-one billion, six hundred thirty-two million, five hundred thirty-nine thousand".