71971471152 has 240 divisors, whose sum is σ = 238133925120. Its totient is φ = 19862143488.

The previous prime is 71971471139. The next prime is 71971471157. The reversal of 71971471152 is 25117417917.

It is a junction number, because it is equal to n+sod(n) for n = 71971471098 and 71971471107.

It is not an unprimeable number, because it can be changed into a prime (71971471157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5177203 + ... + 5191085.

It is an arithmetic number, because the mean of its divisors is an integer number (992224688).

Almost surely, 2^71971471152 is an apocalyptic number.

71971471152 is a gapful number since it is divisible by the number (72) 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 71971471152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119066962560).

71971471152 is an abundant number, since it is smaller than the sum of its proper divisors (166162453968).

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

71971471152 is a wasteful number, since it uses less digits than its factorization.

71971471152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14080 (or 14071 counting only the distinct ones).

The product of its digits is 123480, while the sum is 45.

The spelling of 71971471152 in words is "seventy-one billion, nine hundred seventy-one million, four hundred seventy-one thousand, one hundred fifty-two".