71364128 has 48 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 31315200.

The previous prime is 71364119. The next prime is 71364169. The reversal of 71364128 is 82146317.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 71364094 and 71364103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6713 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^71364128 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 71364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

71364128 is an abundant number, since it is smaller than the sum of its proper divisors (87214432).

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

71364128 is a wasteful number, since it uses less digits than its factorization.

71364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7033 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 71364128 is about 8447.7291623252. The cubic root of 71364128 is about 414.7884497825.

The spelling of 71364128 in words is "seventy-one million, three hundred sixty-four thousand, one hundred twenty-eight".