72807867 has 24 divisors (see below), whose sum is σ = 120768960. Its totient is φ = 41802480.

The previous prime is 72807853. The next prime is 72807881. The reversal of 72807867 is 76870827.

It is an interprime number because it is at equal distance from previous prime (72807853) and next prime (72807881).

It is not a de Polignac number, because 72807867 - 2¹¹ = 72805819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72807817) 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 in 23 ways as a sum of consecutive naturals, for example, 17473 + ... + 21234.

It is an arithmetic number, because the mean of its divisors is an integer number (5032040).

Almost surely, 2^72807867 is an apocalyptic number.

72807867 is a deficient number, since it is larger than the sum of its proper divisors (47961093).

72807867 is a wasteful number, since it uses less digits than its factorization.

72807867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38743 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 72807867 is about 8532.7526039374. The cubic root of 72807867 is about 417.5669358538.

The spelling of 72807867 in words is "seventy-two million, eight hundred seven thousand, eight hundred sixty-seven".