73856 has 16 divisors (see below), whose sum is σ = 147390. Its totient is φ = 36864.

The previous prime is 73849. The next prime is 73859. The reversal of 73856 is 65837.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 33856 = 200^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

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

73856 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161 + ... + 416.

2⁷³⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

73856 is a deficient number, since it is larger than the sum of its proper divisors (73534).

73856 is an equidigital number, since it uses as much as digits as its factorization.

73856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 73856 is about 271.7646040234. The cubic root of 73856 is about 41.9561144020.

It can be divided in two parts, 738 and 56, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 73856 in words is "seventy-three thousand, eight hundred fifty-six".