71830 has 16 divisors (see below), whose sum is σ = 141264. Its totient is φ = 26080.

The previous prime is 71821. The next prime is 71837. The reversal of 71830 is 3817.

71830 = T₁₆₇ + T₁₆₈ + ... + T₁₇₁.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 71798 and 71807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71837) by changing a digit.

71830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (8829).

2⁷¹⁸³⁰ is an apocalyptic number.

71830 is a deficient number, since it is larger than the sum of its proper divisors (69434).

71830 is a wasteful number, since it uses less digits than its factorization.

71830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 71830 is about 268.0111937961. The cubic root of 71830 is about 41.5689085978.

The spelling of 71830 in words is "seventy-one thousand, eight hundred thirty".