73629 has 14 divisors (see below), whose sum is σ = 111486. Its totient is φ = 48600.

The previous prime is 73613. The next prime is 73637. The reversal of 73629 is 92637.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 729 = 270^2 + 27^2 .

It is not a de Polignac number, because 73629 - 2⁴ = 73613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

73629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73609) 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 13 ways as a sum of consecutive naturals, for example, 679 + ... + 779.

2⁷³⁶²⁹ is an apocalyptic number.

It is an amenable number.

73629 is a deficient number, since it is larger than the sum of its proper divisors (37857).

73629 is an equidigital number, since it uses as much as digits as its factorization.

73629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 73629 is about 271.3466417703. The cubic root of 73629 is about 41.9130855702.

The spelling of 73629 in words is "seventy-three thousand, six hundred twenty-nine".