73854 has 24 divisors (see below), whose sum is σ = 175032. Its totient is φ = 22320.

The previous prime is 73849. The next prime is 73859. The reversal of 73854 is 45837.

It is an interprime number because it is at equal distance from previous prime (73849) and next prime (73859).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (7293).

2⁷³⁸⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87516).

73854 is an abundant number, since it is smaller than the sum of its proper divisors (101178).

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

73854 is a wasteful number, since it uses less digits than its factorization.

73854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 73854 is about 271.7609243434. The cubic root of 73854 is about 41.9557356786.

The spelling of 73854 in words is "seventy-three thousand, eight hundred fifty-four".