71968120 has 64 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 24069120.

The previous prime is 71968103. The next prime is 71968129. The reversal of 71968120 is 2186917.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71968129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8346 + ... + 14614.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2^71968120 is an apocalyptic number.

71968120 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 71968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

71968120 is an abundant number, since it is smaller than the sum of its proper divisors (117636680).

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

71968120 is a wasteful number, since it uses less digits than its factorization.

71968120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 71968120 is about 8483.4026192325. The cubic root of 71968120 is about 415.9553545530.

The spelling of 71968120 in words is "seventy-one million, nine hundred sixty-eight thousand, one hundred twenty".