72872567 has 2 divisors, whose sum is σ = 72872568. Its totient is φ = 72872566.

The previous prime is 72872521. The next prime is 72872623. The reversal of 72872567 is 76527827.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72872567 - 2⁸ = 72872311 is a prime.

It is a super-2 number, since 2×72872567² = 10620822042338978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72872507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36436283 + 36436284.

It is an arithmetic number, because the mean of its divisors is an integer number (36436284).

Almost surely, 2^72872567 is an apocalyptic number.

72872567 is a deficient number, since it is larger than the sum of its proper divisors (1).

72872567 is an equidigital number, since it uses as much as digits as its factorization.

72872567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 329280, while the sum is 44.

The square root of 72872567 is about 8536.5430356790. The cubic root of 72872567 is about 417.6905881601.

The spelling of 72872567 in words is "seventy-two million, eight hundred seventy-two thousand, five hundred sixty-seven".