72627905 has 32 divisors (see below), whose sum is σ = 105283584. Its totient is φ = 47019456.

The previous prime is 72627901. The next prime is 72627913. The reversal of 72627905 is 50972627.

It is a cyclic number.

It is not a de Polignac number, because 72627905 - 2² = 72627901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72627901) 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 31 ways as a sum of consecutive naturals, for example, 66272 + ... + 67358.

It is an arithmetic number, because the mean of its divisors is an integer number (3290112).

Almost surely, 2^72627905 is an apocalyptic number.

It is an amenable number.

72627905 is a deficient number, since it is larger than the sum of its proper divisors (32655679).

72627905 is a wasteful number, since it uses less digits than its factorization.

72627905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 72627905 is about 8522.2007134308. The cubic root of 72627905 is about 417.2226132640. Note that the first 3 decimals are identical.

The spelling of 72627905 in words is "seventy-two million, six hundred twenty-seven thousand, nine hundred five".