71827321632 has 96 divisors (see below), whose sum is σ = 205876157760. Its totient is φ = 21745873920.

The previous prime is 71827321609. The next prime is 71827321651. The reversal of 71827321632 is 23612372817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140438 + ... + 1201770.

It is an arithmetic number, because the mean of its divisors is an integer number (2144543310).

Almost surely, 2^71827321632 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 71827321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102938078880).

71827321632 is an abundant number, since it is smaller than the sum of its proper divisors (134048836128).

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

71827321632 is a wasteful number, since it uses less digits than its factorization.

71827321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62466 (or 62458 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 71827321632 in words is "seventy-one billion, eight hundred twenty-seven million, three hundred twenty-one thousand, six hundred thirty-two".