71951304672 has 288 divisors, whose sum is σ = 234700214112. Its totient is φ = 21539395584.

The previous prime is 71951304643. The next prime is 71951304683. The reversal of 71951304672 is 27640315917.

71951304672 is a `hidden beast` number, since 71 + 9 + 513 + 0 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3730638 + ... + 3749874.

It is an arithmetic number, because the mean of its divisors is an integer number (814931299).

Almost surely, 2^71951304672 is an apocalyptic number.

71951304672 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 71951304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117350107056).

71951304672 is an abundant number, since it is smaller than the sum of its proper divisors (162748909440).

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

71951304672 is a wasteful number, since it uses less digits than its factorization.

71951304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 71951304672 in words is "seventy-one billion, nine hundred fifty-one million, three hundred four thousand, six hundred seventy-two".