73584056 has 64 divisors (see below), whose sum is σ = 172697280. Its totient is φ = 28615680.

The previous prime is 73584019. The next prime is 73584059. The reversal of 73584056 is 65048537.

It is a super-2 number, since 2×73584056² = 10829226594822272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73584059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43580 + ... + 45236.

It is an arithmetic number, because the mean of its divisors is an integer number (2698395).

Almost surely, 2^73584056 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 73584056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86348640).

73584056 is an abundant number, since it is smaller than the sum of its proper divisors (99113224).

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

73584056 is a wasteful number, since it uses less digits than its factorization.

73584056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 73584056 is about 8578.1149444386. The cubic root of 73584056 is about 419.0455575574.

The spelling of 73584056 in words is "seventy-three million, five hundred eighty-four thousand, fifty-six".