71683968 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 22044672.

The previous prime is 71683957. The next prime is 71683991. The reversal of 71683968 is 86938617.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (435456) is a multiple of the sum of its prime factors (252).

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 15 ways as a sum of consecutive naturals, for example, 515643 + ... + 515781.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^71683968 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 71683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

71683968 is an abundant number, since it is smaller than the sum of its proper divisors (133948032).

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

71683968 is a wasteful number, since it uses less digits than its factorization.

71683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 71683968 is about 8466.6385301370. The cubic root of 71683968 is about 415.4071931170.

The spelling of 71683968 in words is "seventy-one million, six hundred eighty-three thousand, nine hundred sixty-eight".