71830688 has 48 divisors (see below), whose sum is σ = 147742056. Its totient is φ = 34344960.

The previous prime is 71830687. The next prime is 71830699. The reversal of 71830688 is 88603817.

It can be written as a sum of positive squares in 4 ways, for example, as 67043344 + 4787344 = 8188^2 + 2188^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (71830687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69020 + ... + 70052.

Almost surely, 2^71830688 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 71830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73871028).

71830688 is an abundant number, since it is smaller than the sum of its proper divisors (75911368).

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

71830688 is a wasteful number, since it uses less digits than its factorization.

71830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 71830688 is about 8475.2986968012. The cubic root of 71830688 is about 415.6904131540.

The spelling of 71830688 in words is "seventy-one million, eight hundred thirty thousand, six hundred eighty-eight".