72906128 has 20 divisors (see below), whose sum is σ = 142371840. Its totient is φ = 36165024.

The previous prime is 72906109. The next prime is 72906133. The reversal of 72906128 is 82160927.

It is a happy number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15908 + ... + 19971.

It is an arithmetic number, because the mean of its divisors is an integer number (7118592).

Almost surely, 2^72906128 is an apocalyptic number.

It is an amenable number.

72906128 is a deficient number, since it is larger than the sum of its proper divisors (69465712).

72906128 is a wasteful number, since it uses less digits than its factorization.

72906128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36014 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 72906128 is about 8538.5085348672. The cubic root of 72906128 is about 417.7546999056.

The spelling of 72906128 in words is "seventy-two million, nine hundred six thousand, one hundred twenty-eight".