71628081932736 has 252 divisors, whose sum is σ = 238960842143400. Its totient is φ = 20453851192320.

The previous prime is 71628081932717. The next prime is 71628081932741. The reversal of 71628081932736 is 63723918082617.

71628081932736 is a `hidden beast` number, since 7 + 1 + 6 + 280 + 81 + 9 + 3 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50412990 + ... + 51814338.

Almost surely, 2^{71628081932736} 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 71628081932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119480421071700).

71628081932736 is an abundant number, since it is smaller than the sum of its proper divisors (167332760210664).

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

71628081932736 is a wasteful number, since it uses less digits than its factorization.

71628081932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403192 (or 1403172 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 71628081932736 in words is "seventy-one trillion, six hundred twenty-eight billion, eighty-one million, nine hundred thirty-two thousand, seven hundred thirty-six".