71416128 has 84 divisors (see below), whose sum is σ = 219833952. Its totient is φ = 20401920.

The previous prime is 71416123. The next prime is 71416129. The reversal of 71416128 is 82161417.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71416095 and 71416104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71416123) 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, 5613 + ... + 13203.

Almost surely, 2^71416128 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 71416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109916976).

71416128 is an abundant number, since it is smaller than the sum of its proper divisors (148417824).

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

71416128 is a wasteful number, since it uses less digits than its factorization.

71416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7603 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 71416128 is about 8450.8063520590. The cubic root of 71416128 is about 414.8891715471.

The spelling of 71416128 in words is "seventy-one million, four hundred sixteen thousand, one hundred twenty-eight".