71749128 has 96 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 21014400.

The previous prime is 71749127. The next prime is 71749169. The reversal of 71749128 is 82194717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71749123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89626 + ... + 90422.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 2^71749128 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 71749128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

71749128 is an abundant number, since it is smaller than the sum of its proper divisors (132028152).

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

71749128 is a wasteful number, since it uses less digits than its factorization.

71749128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 71749128 is about 8470.4857003598. The cubic root of 71749128 is about 415.5330219743.

The spelling of 71749128 in words is "seventy-one million, seven hundred forty-nine thousand, one hundred twenty-eight".