71935762208 has 54 divisors (see below), whose sum is σ = 150498336051. Its totient is φ = 33839985664.

The previous prime is 71935762183. The next prime is 71935762219. The reversal of 71935762208 is 80226753917.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 63007024144 + 8928738064 = 251012^2 + 94492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=189652.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25791278 + ... + 25794066.

Almost surely, 2^71935762208 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 71935762208

71935762208 is an abundant number, since it is smaller than the sum of its proper divisors (78562573843).

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

71935762208 is an frugal number, since it uses more digits than its factorization.

71935762208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

Multiplying 71935762208 by its sum of digits (50), we get a square (3596788110400 = 1896520²).

The spelling of 71935762208 in words is "seventy-one billion, nine hundred thirty-five million, seven hundred sixty-two thousand, two hundred eight".