71934735882240 has 4032 divisors, whose sum is σ = 336484252016640. Its totient is φ = 14425885900800.

The previous prime is 71934735882193. The next prime is 71934735882341. The reversal of 71934735882240 is 4228853743917.

It is a happy number.

71934735882240 is a `hidden beast` number, since 7 + 1 + 9 + 3 + 4 + 7 + 3 + 588 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×71934735882240² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 196007454537 + ... + 196007454903.

It is an arithmetic number, because the mean of its divisors is an integer number (83453435520).

Almost surely, 2^{71934735882240} is an apocalyptic number.

71934735882240 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 71934735882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168242126008320).

71934735882240 is an abundant number, since it is smaller than the sum of its proper divisors (264549516134400).

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

71934735882240 is a wasteful number, since it uses less digits than its factorization.

71934735882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 71934735882240 in words is "seventy-one trillion, nine hundred thirty-four billion, seven hundred thirty-five million, eight hundred eighty-two thousand, two hundred forty".