73872667 has 16 divisors (see below), whose sum is σ = 87322752. Its totient is φ = 61729920.

The previous prime is 73872653. The next prime is 73872671. The reversal of 73872667 is 76627837.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73872667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73872607) 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, 3448 + ... + 12634.

It is an arithmetic number, because the mean of its divisors is an integer number (5457672).

Almost surely, 2^73872667 is an apocalyptic number.

73872667 is a deficient number, since it is larger than the sum of its proper divisors (13450085).

73872667 is a wasteful number, since it uses less digits than its factorization.

73872667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258.

The product of its digits is 592704, while the sum is 46.

The square root of 73872667 is about 8594.9210002187. The cubic root of 73872667 is about 419.5927022758.

The spelling of 73872667 in words is "seventy-three million, eight hundred seventy-two thousand, six hundred sixty-seven".