71967896 has 192 divisors, whose sum is σ = 196627200. Its totient is φ = 23950080.

The previous prime is 71967893. The next prime is 71967899. The reversal of 71967896 is 69876917.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71967893) and next prime (71967899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71967893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673651 + ... + 1673693.

It is an arithmetic number, because the mean of its divisors is an integer number (1024100).

Almost surely, 2^71967896 is an apocalyptic number.

71967896 is a gapful number since it is divisible by the number (76) 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 71967896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98313600).

71967896 is an abundant number, since it is smaller than the sum of its proper divisors (124659304).

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

71967896 is a wasteful number, since it uses less digits than its factorization.

71967896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 53.

The square root of 71967896 is about 8483.3894169724. The cubic root of 71967896 is about 415.9549230003.

The spelling of 71967896 in words is "seventy-one million, nine hundred sixty-seven thousand, eight hundred ninety-six".