71328 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 23744.

The previous prime is 71327. The next prime is 71329. The reversal of 71328 is 82317.

It is an interprime number because it is at equal distance from previous prime (71327) and next prime (71329).

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (71327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷¹³²⁸ is an apocalyptic number.

It is an amenable number.

71328 is an abundant number, since it is smaller than the sum of its proper divisors (116160).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

71328 is a wasteful number, since it uses less digits than its factorization.

71328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 71328 is about 267.0730237220. The cubic root of 71328 is about 41.4718442591.

It can be divided in two parts, 7132 and 8, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 71328 in words is "seventy-one thousand, three hundred twenty-eight".