71728010 has 16 divisors (see below), whose sum is σ = 129295872. Its totient is φ = 28650000.

The previous prime is 71727979. The next prime is 71728039. The reversal of 71728010 is 1082717.

71728010 = T₄ + T₅ + ... + T₇₅₄.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2735 + ... + 12285.

It is an arithmetic number, because the mean of its divisors is an integer number (8080992).

Almost surely, 2^71728010 is an apocalyptic number.

71728010 is a deficient number, since it is larger than the sum of its proper divisors (57567862).

71728010 is a wasteful number, since it uses less digits than its factorization.

71728010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 71728010 is about 8469.2390449202. The cubic root of 71728010 is about 415.4922498763.

The spelling of 71728010 in words is "seventy-one million, seven hundred twenty-eight thousand, ten".