73830 has 32 divisors (see below), whose sum is σ = 186624. Its totient is φ = 18656.

The previous prime is 73823. The next prime is 73847. The reversal of 73830 is 3837.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73797 and 73806.

It is a congruent number.

It is an unprimeable number.

73830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2⁷³⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312).

73830 is an abundant number, since it is smaller than the sum of its proper divisors (112794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73830 is a wasteful number, since it uses less digits than its factorization.

73830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73830 is about 271.7167642969. The cubic root of 73830 is about 41.9511904644.

It can be divided in two parts, 73 and 830, that added together give a triangular number (903 = T₄₂).

The spelling of 73830 in words is "seventy-three thousand, eight hundred thirty".