71768160 has 192 divisors, whose sum is σ = 258552000. Its totient is φ = 18579456.

The previous prime is 71768153. The next prime is 71768171. The reversal of 71768160 is 6186717.

It is a happy number.

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

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, 159616 + ... + 160064.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^71768160 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 71768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

71768160 is an abundant number, since it is smaller than the sum of its proper divisors (186783840).

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

71768160 is a wasteful number, since it uses less digits than its factorization.

71768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71768160 is about 8471.6090561357. The cubic root of 71768160 is about 415.5697598207.

The spelling of 71768160 in words is "seventy-one million, seven hundred sixty-eight thousand, one hundred sixty".