71200128 has 64 divisors (see below), whose sum is σ = 190491120. Its totient is φ = 23562240.

The previous prime is 71200127. The next prime is 71200141. The reversal of 71200128 is 82100217.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71200121) 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, 59698 + ... + 60878.

Almost surely, 2^71200128 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 71200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95245560).

71200128 is an abundant number, since it is smaller than the sum of its proper divisors (119290992).

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

71200128 is a wasteful number, since it uses less digits than its factorization.

71200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 71200128 is about 8438.0168286156. The cubic root of 71200128 is about 414.4704679834.

The spelling of 71200128 in words is "seventy-one million, two hundred thousand, one hundred twenty-eight".