71803368000 has 1344 divisors, whose sum is σ = 327173783040. Its totient is φ = 15095808000.

The previous prime is 71803367957. The next prime is 71803368073. The reversal of 71803368000 is 86330817.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×71803368000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255527860 + ... + 255528140.

Almost surely, 2^71803368000 is an apocalyptic number.

71803368000 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 71803368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163586891520).

71803368000 is an abundant number, since it is smaller than the sum of its proper divisors (255370415040).

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

71803368000 is a wasteful number, since it uses less digits than its factorization.

71803368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 71803368000 its reverse (86330817), we get a palindrome (71889698817).

The spelling of 71803368000 in words is "seventy-one billion, eight hundred three million, three hundred sixty-eight thousand".