71916768 has 384 divisors, whose sum is σ = 278691840. Its totient is φ = 17487360.

The previous prime is 71916739. The next prime is 71916797. The reversal of 71916768 is 86761917.

It is an interprime number because it is at equal distance from previous prime (71916739) and next prime (71916797).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1530121 + ... + 1530167.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^71916768 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 71916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

71916768 is an abundant number, since it is smaller than the sum of its proper divisors (206775072).

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

71916768 is a wasteful number, since it uses less digits than its factorization.

71916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 71916768 is about 8480.3754633860. The cubic root of 71916768 is about 415.8563976731.

The spelling of 71916768 in words is "seventy-one million, nine hundred sixteen thousand, seven hundred sixty-eight".