728672007 has 16 divisors (see below), whose sum is σ = 1129178880. Its totient is φ = 409325952.

The previous prime is 728671949. The next prime is 728672027. The reversal of 728672007 is 700276827.

It is not a de Polignac number, because 728672007 - 2⁸ = 728671751 is a prime.

It is a super-3 number, since 3×728672007³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728672027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292818 + ... + 295295.

It is an arithmetic number, because the mean of its divisors is an integer number (70573680).

Almost surely, 2^728672007 is an apocalyptic number.

728672007 is a deficient number, since it is larger than the sum of its proper divisors (400506873).

728672007 is a wasteful number, since it uses less digits than its factorization.

728672007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588182.

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 728672007 is about 26993.9253722018. The cubic root of 728672007 is about 899.8650032088.

The spelling of 728672007 in words is "seven hundred twenty-eight million, six hundred seventy-two thousand, seven".