72628935 has 16 divisors (see below), whose sum is σ = 118909824. Its totient is φ = 37834272.

The previous prime is 72628909. The next prime is 72628949. The reversal of 72628935 is 53982627.

It is not a de Polignac number, because 72628935 - 2⁵ = 72628903 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 55657 + ... + 56946.

It is an arithmetic number, because the mean of its divisors is an integer number (7431864).

Almost surely, 2^72628935 is an apocalyptic number.

72628935 is a deficient number, since it is larger than the sum of its proper divisors (46280889).

72628935 is a wasteful number, since it uses less digits than its factorization.

72628935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112654.

The product of its digits is 181440, while the sum is 42.

The square root of 72628935 is about 8522.2611436168. The cubic root of 72628935 is about 417.2245855879.

The spelling of 72628935 in words is "seventy-two million, six hundred twenty-eight thousand, nine hundred thirty-five".