71180928 has 288 divisors, whose sum is σ = 259246260. Its totient is φ = 18579456.

The previous prime is 71180903. The next prime is 71180939. The reversal of 71180928 is 82908117.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 3415104 = 8232^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71180892 and 71180901.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733776 + ... + 733872.

Almost surely, 2^71180928 is an apocalyptic number.

71180928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129623130).

71180928 is an abundant number, since it is smaller than the sum of its proper divisors (188065332).

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

71180928 is a wasteful number, since it uses less digits than its factorization.

71180928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71180928 is about 8436.8790438171. The cubic root of 71180928 is about 414.4332089286.

The spelling of 71180928 in words is "seventy-one million, one hundred eighty thousand, nine hundred twenty-eight".