73671 has 8 divisors (see below), whose sum is σ = 105840. Its totient is φ = 45312.

The previous prime is 73651. The next prime is 73673. The reversal of 73671 is 17637.

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

It is not a de Polignac number, because 73671 - 2⁶ = 73607 is a prime.

73671 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73671.

It is not an unprimeable number, because it can be changed into a prime (73673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁷³⁶⁷¹ is an apocalyptic number.

73671 is a deficient number, since it is larger than the sum of its proper divisors (32169).

73671 is a wasteful number, since it uses less digits than its factorization.

73671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905.

The product of its digits is 882, while the sum is 24.

The square root of 73671 is about 271.4240225183. The cubic root of 73671 is about 41.9210535130.

The spelling of 73671 in words is "seventy-three thousand, six hundred seventy-one".