73630 has 16 divisors (see below), whose sum is σ = 136800. Its totient is φ = 28512.

The previous prime is 73613. The next prime is 73637. The reversal of 73630 is 3637.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73598 and 73607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73637) 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, 271 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁷³⁶³⁰ is an apocalyptic number.

73630 is a deficient number, since it is larger than the sum of its proper divisors (63170).

73630 is a wasteful number, since it uses less digits than its factorization.

73630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 73630 is about 271.3484844255. The cubic root of 73630 is about 41.9132753184.

It can be divided in two parts, 73 and 630, that added together give a triangular number (703 = T₃₇).

The spelling of 73630 in words is "seventy-three thousand, six hundred thirty".