73056 has 24 divisors (see below), whose sum is σ = 192024. Its totient is φ = 24320.

The previous prime is 73043. The next prime is 73061. The reversal of 73056 is 65037.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

73056 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 3 ways as a sum of consecutive naturals, for example, 285 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2⁷³⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

73056 is an abundant number, since it is smaller than the sum of its proper divisors (118968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

73056 is a wasteful number, since it uses less digits than its factorization.

73056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73056 is about 270.2887345044. The cubic root of 73056 is about 41.8040761270.

The spelling of 73056 in words is "seventy-three thousand, fifty-six".