71779968 has 96 divisors (see below), whose sum is σ = 222489540. Its totient is φ = 22081536.

The previous prime is 71779957. The next prime is 71779969. The reversal of 71779968 is 86997717.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 5184 = 8472^2 + 72^2 .

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 (71779969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12580 + ... + 17372.

Almost surely, 2^71779968 is an apocalyptic number.

71779968 is a gapful number since it is divisible by the number (78) 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 71779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111244770).

71779968 is an abundant number, since it is smaller than the sum of its proper divisors (150709572).

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

71779968 is a wasteful number, since it uses less digits than its factorization.

71779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4811 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 71779968 is about 8472.3059434843. The cubic root of 71779968 is about 415.5925497721.

The spelling of 71779968 in words is "seventy-one million, seven hundred seventy-nine thousand, nine hundred sixty-eight".