73056880 has 80 divisors (see below), whose sum is σ = 184363200. Its totient is φ = 26763264.

The previous prime is 73056857. The next prime is 73056883. The reversal of 73056880 is 8865037.

73056880 = 1028² + 1029² + ... + 1092².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73056883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206784 + ... + 207136.

It is an arithmetic number, because the mean of its divisors is an integer number (2304540).

Almost surely, 2^73056880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92181600).

73056880 is an abundant number, since it is smaller than the sum of its proper divisors (111306320).

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

73056880 is a wasteful number, since it uses less digits than its factorization.

73056880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 73056880 is about 8547.3317473935. The cubic root of 73056880 is about 418.0424397742.

The spelling of 73056880 in words is "seventy-three million, fifty-six thousand, eight hundred eighty".