71976078720 has 768 divisors, whose sum is σ = 307553500800. Its totient is φ = 15104212992.

The previous prime is 71976078701. The next prime is 71976078739. The reversal of 71976078720 is 2787067917.

71976078720 is a `hidden beast` number, since 7 + 1 + 9 + 7 + 607 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (71976078701) and next prime (71976078739).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185028286 + ... + 185028674.

Almost surely, 2^71976078720 is an apocalyptic number.

71976078720 is a gapful number since it is divisible by the number (70) 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 71976078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153776750400).

71976078720 is an abundant number, since it is smaller than the sum of its proper divisors (235577422080).

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

71976078720 is a wasteful number, since it uses less digits than its factorization.

71976078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 71976078720 in words is "seventy-one billion, nine hundred seventy-six million, seventy-eight thousand, seven hundred twenty".