71832096 has 240 divisors, whose sum is σ = 250278336. Its totient is φ = 19782144.

The previous prime is 71832083. The next prime is 71832127. The reversal of 71832096 is 69023817.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71832096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671275 + ... + 671381.

Almost surely, 2^71832096 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 71832096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

71832096 is an abundant number, since it is smaller than the sum of its proper divisors (178446240).

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

71832096 is a wasteful number, since it uses less digits than its factorization.

71832096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71832096 is about 8475.3817613132. The cubic root of 71832096 is about 415.6931292089.

The spelling of 71832096 in words is "seventy-one million, eight hundred thirty-two thousand, ninety-six".