73133667 has 12 divisors (see below), whose sum is σ = 105763320. Its totient is φ = 48697728.

The previous prime is 73133653. The next prime is 73133729. The reversal of 73133667 is 76633137.

It is not a de Polignac number, because 73133667 - 2⁴ = 73133651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73133647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3988 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (8813610).

Almost surely, 2^73133667 is an apocalyptic number.

73133667 is a deficient number, since it is larger than the sum of its proper divisors (32629653).

73133667 is a wasteful number, since it uses less digits than its factorization.

73133667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9679 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 73133667 is about 8551.8224373522. The cubic root of 73133667 is about 418.1888507396.

The spelling of 73133667 in words is "seventy-three million, one hundred thirty-three thousand, six hundred sixty-seven".