72787917 has 16 divisors (see below), whose sum is σ = 104922560. Its totient is φ = 44727552.

The previous prime is 72787909. The next prime is 72787919. The reversal of 72787917 is 71978727.

It is not a de Polignac number, because 72787917 - 2³ = 72787909 is a prime.

It is a super-2 number, since 2×72787917² = 10596161722397778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72787919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15148 + ... + 19365.

It is an arithmetic number, because the mean of its divisors is an integer number (6557660).

Almost surely, 2^72787917 is an apocalyptic number.

It is an amenable number.

72787917 is a deficient number, since it is larger than the sum of its proper divisors (32134643).

72787917 is a wasteful number, since it uses less digits than its factorization.

72787917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572.

The product of its digits is 345744, while the sum is 48.

The square root of 72787917 is about 8531.5834989760. The cubic root of 72787917 is about 417.5287933576.

The spelling of 72787917 in words is "seventy-two million, seven hundred eighty-seven thousand, nine hundred seventeen".