71728416 has 60 divisors (see below), whose sum is σ = 210958902. Its totient is φ = 23908608.

The previous prime is 71728399. The next prime is 71728417. The reversal of 71728416 is 61482717.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 156816 = 8460^2 + 396^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71728417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11245 + ... + 16428.

Almost surely, 2^71728416 is an apocalyptic number.

It is an amenable number.

71728416 is an abundant number, since it is smaller than the sum of its proper divisors (139230486).

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

71728416 is a wasteful number, since it uses less digits than its factorization.

71728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27695 (or 27678 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71728416 is about 8469.2630139818. The cubic root of 71728416 is about 415.4930338078.

The spelling of 71728416 in words is "seventy-one million, seven hundred twenty-eight thousand, four hundred sixteen".