71787168 has 96 divisors (see below), whose sum is σ = 220449600. Its totient is φ = 22664448.

The previous prime is 71787137. The next prime is 71787169. The reversal of 71787168 is 86178717.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (71787169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14230 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^71787168 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 71787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110224800).

71787168 is an abundant number, since it is smaller than the sum of its proper divisors (148662432).

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

71787168 is a wasteful number, since it uses less digits than its factorization.

71787168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4397 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The square root of 71787168 is about 8472.7308466633. The cubic root of 71787168 is about 415.6064448573.

The spelling of 71787168 in words is "seventy-one million, seven hundred eighty-seven thousand, one hundred sixty-eight".