71728488 has 96 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 21901824.

The previous prime is 71728487. The next prime is 71728499. The reversal of 71728488 is 88482717.

It can be written as a sum of positive squares in 4 ways, for example, as 60559524 + 11168964 = 7782^2 + 3342^2 .

It is a super-2 number, since 2×71728488² = 10289951981532288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71728487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184198 + ... + 184586.

Almost surely, 2^71728488 is an apocalyptic number.

71728488 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 71728488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

71728488 is an abundant number, since it is smaller than the sum of its proper divisors (139082112).

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

71728488 is a wasteful number, since it uses less digits than its factorization.

71728488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 71728488 is about 8469.2672646457. The cubic root of 71728488 is about 415.4931728298.

The spelling of 71728488 in words is "seventy-one million, seven hundred twenty-eight thousand, four hundred eighty-eight".