71051328 has 84 divisors (see below), whose sum is σ = 204836268. Its totient is φ = 23546880.

The previous prime is 71051327. The next prime is 71051329. The reversal of 71051328 is 82315017.

It is an interprime number because it is at equal distance from previous prime (71051327) and next prime (71051329).

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 41370624 = 5448^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (71051327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168558 + ... + 168978.

It is an arithmetic number, because the mean of its divisors is an integer number (2438527).

Almost surely, 2^71051328 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 71051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102418134).

71051328 is an abundant number, since it is smaller than the sum of its proper divisors (133784940).

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

71051328 is a wasteful number, since it uses less digits than its factorization.

71051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71051328 is about 8429.1949793560. The cubic root of 71051328 is about 414.1815348939.

The spelling of 71051328 in words is "seventy-one million, fifty-one thousand, three hundred twenty-eight".