72216567 has 6 divisors (see below), whose sum is σ = 104312832. Its totient is φ = 48144372.

The previous prime is 72216541. The next prime is 72216631. The reversal of 72216567 is 76561227.

72216567 is a `hidden beast` number, since 72 + 21 + 6 + 567 = 666.

It is not a de Polignac number, because 72216567 - 2¹⁰ = 72215543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72216167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4012023 + ... + 4012040.

It is an arithmetic number, because the mean of its divisors is an integer number (17385472).

Almost surely, 2^72216567 is an apocalyptic number.

72216567 is a deficient number, since it is larger than the sum of its proper divisors (32096265).

72216567 is a wasteful number, since it uses less digits than its factorization.

72216567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024069 (or 8024066 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72216567 is about 8498.0331253767. The cubic root of 72216567 is about 416.4334559127.

The spelling of 72216567 in words is "seventy-two million, two hundred sixteen thousand, five hundred sixty-seven".