73627 has 8 divisors (see below), whose sum is σ = 80352. Its totient is φ = 67200.

The previous prime is 73613. The next prime is 73637. The reversal of 73627 is 72637.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73627 is a prime.

It is a Duffinian number.

73627 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73607) 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, 1002 + ... + 1072.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2⁷³⁶²⁷ is an apocalyptic number.

73627 is a deficient number, since it is larger than the sum of its proper divisors (6725).

73627 is a wasteful number, since it uses less digits than its factorization.

73627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its digits is 1764, while the sum is 25.

The square root of 73627 is about 271.3429564223. The cubic root of 73627 is about 41.9127060688.

Subtracting from 73627 its reverse (72637), we obtain a triangular number (990 = T₄₄).

The spelling of 73627 in words is "seventy-three thousand, six hundred twenty-seven".