71843328 has 80 divisors (see below), whose sum is σ = 212702160. Its totient is φ = 23943168.

The previous prime is 71843327. The next prime is 71843371. The reversal of 71843328 is 82334817.

It is a super-2 number, since 2×71843328² = 10322927556231168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 71843292 and 71843301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71843323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11226 + ... + 16422.

It is an arithmetic number, because the mean of its divisors is an integer number (2658777).

Almost surely, 2^71843328 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 71843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106351080).

71843328 is an abundant number, since it is smaller than the sum of its proper divisors (140858832).

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

71843328 is an equidigital number, since it uses as much as digits as its factorization.

71843328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5202 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 71843328 is about 8476.0443604313. The cubic root of 71843328 is about 415.7147946489.

The spelling of 71843328 in words is "seventy-one million, eight hundred forty-three thousand, three hundred twenty-eight".