71950338720 has 192 divisors, whose sum is σ = 271197642240. Its totient is φ = 17710838784.

The previous prime is 71950338703. The next prime is 71950338749. The reversal of 71950338720 is 2783305917.

It is a happy number.

71950338720 is a `hidden beast` number, since 71 + 9 + 503 + 3 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584424 + ... + 696743.

It is an arithmetic number, because the mean of its divisors is an integer number (1412487720).

Almost surely, 2^71950338720 is an apocalyptic number.

It is an amenable number.

71950338720 is an abundant number, since it is smaller than the sum of its proper divisors (199247303520).

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

71950338720 is a wasteful number, since it uses less digits than its factorization.

71950338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281204 (or 1281190 counting only the distinct ones).

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

The spelling of 71950338720 in words is "seventy-one billion, nine hundred fifty million, three hundred thirty-eight thousand, seven hundred twenty".