71827328 has 32 divisors (see below), whose sum is σ = 145072560. Its totient is φ = 35417088.

The previous prime is 71827309. The next prime is 71827373. The reversal of 71827328 is 82372817.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 71827291 and 71827300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5501 + ... + 13187.

Almost surely, 2^71827328 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 71827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72536280).

71827328 is an abundant number, since it is smaller than the sum of its proper divisors (73245232).

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

71827328 is an equidigital number, since it uses as much as digits as its factorization.

71827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7762 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 71827328 is about 8475.1004713809. The cubic root of 71827328 is about 415.6839315159.

The spelling of 71827328 in words is "seventy-one million, eight hundred twenty-seven thousand, three hundred twenty-eight".