71808000 has 352 divisors, whose sum is σ = 275902848. Its totient is φ = 16384000.

The previous prime is 71807977. The next prime is 71808013. The reversal of 71808000 is 80817.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223992 + ... + 4224008.

Almost surely, 2^71808000 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 71808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137951424).

71808000 is an abundant number, since it is smaller than the sum of its proper divisors (204094848).

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

71808000 is a wasteful number, since it uses less digits than its factorization.

71808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71808000 is about 8473.9601131938. The cubic root of 71808000 is about 415.6466427383.

Adding to 71808000 its reverse (80817), we get a palindrome (71888817).

The spelling of 71808000 in words is "seventy-one million, eight hundred eight thousand".