73667 has 8 divisors (see below), whose sum is σ = 82992. Its totient is φ = 64800.

The previous prime is 73651. The next prime is 73673. The reversal of 73667 is 76637.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73667 - 2⁴ = 73651 is a prime.

It is a d-powerful number, because it can be written as 7⁴ + 3³ + 6⁵ + 6⁶ + 7⁵ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2⁷³⁶⁶⁷ is an apocalyptic number.

73667 is a deficient number, since it is larger than the sum of its proper divisors (9325).

73667 is a wasteful number, since it uses less digits than its factorization.

73667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229.

The product of its digits is 5292, while the sum is 29.

The square root of 73667 is about 271.4166538737. The cubic root of 73667 is about 41.9202947918.

The spelling of 73667 in words is "seventy-three thousand, six hundred sixty-seven".