72688917 has 16 divisors (see below), whose sum is σ = 112855680. Its totient is φ = 40752192.

The previous prime is 72688909. The next prime is 72688919. The reversal of 72688917 is 71988627.

It is not a de Polignac number, because 72688917 - 2³ = 72688909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72688919) 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 15 ways as a sum of consecutive naturals, for example, 31542 + ... + 33767.

It is an arithmetic number, because the mean of its divisors is an integer number (7053480).

Almost surely, 2^72688917 is an apocalyptic number.

It is an amenable number.

72688917 is a deficient number, since it is larger than the sum of its proper divisors (40166763).

72688917 is a wasteful number, since it uses less digits than its factorization.

72688917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65372.

The product of its digits is 338688, while the sum is 48.

The square root of 72688917 is about 8525.7795538003. The cubic root of 72688917 is about 417.3394116273.

The spelling of 72688917 in words is "seventy-two million, six hundred eighty-eight thousand, nine hundred seventeen".