71790017208 has 384 divisors, whose sum is σ = 238529733120. Its totient is φ = 17808215040.

The previous prime is 71790017197. The next prime is 71790017219. The reversal of 71790017208 is 80271009717.

It is an interprime number because it is at equal distance from previous prime (71790017197) and next prime (71790017219).

It is a super-2 number, since 2×71790017208² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 71790017208.

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 95 ways as a sum of consecutive naturals, for example, 21447391 + ... + 21450737.

It is an arithmetic number, because the mean of its divisors is an integer number (621171180).

Almost surely, 2^71790017208 is an apocalyptic number.

71790017208 is a gapful number since it is divisible by the number (78) 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 71790017208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119264866560).

71790017208 is an abundant number, since it is smaller than the sum of its proper divisors (166739715912).

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

71790017208 is a wasteful number, since it uses less digits than its factorization.

71790017208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 42.

The spelling of 71790017208 in words is "seventy-one billion, seven hundred ninety million, seventeen thousand, two hundred eight".