71856096 has 144 divisors (see below), whose sum is σ = 211026816. Its totient is φ = 21385728.

The previous prime is 71856079. The next prime is 71856097. The reversal of 71856096 is 69065817.

It is a super-2 number, since 2×71856096² = 10326597064722432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71856097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697581 + ... + 697683.

It is an arithmetic number, because the mean of its divisors is an integer number (1465464).

Almost surely, 2^71856096 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 71856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105513408).

71856096 is an abundant number, since it is smaller than the sum of its proper divisors (139170720).

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

71856096 is a wasteful number, since it uses less digits than its factorization.

71856096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 71856096 is about 8476.7975084934. The cubic root of 71856096 is about 415.7394201418.

The spelling of 71856096 in words is "seventy-one million, eight hundred fifty-six thousand, ninety-six".