73584000 has 384 divisors, whose sum is σ = 306146880. Its totient is φ = 16588800.

The previous prime is 73583947. The next prime is 73584001. The reversal of 73584000 is 48537.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73584001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007964 + ... + 1008036.

Almost surely, 2^73584000 is an apocalyptic number.

73584000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153073440).

73584000 is an abundant number, since it is smaller than the sum of its proper divisors (232562880).

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

73584000 is a wasteful number, since it uses less digits than its factorization.

73584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

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

The square root of 73584000 is about 8578.1116803175. Note that the first 3 decimals coincide. The cubic root of 73584000 is about 419.0454512547.

The spelling of 73584000 in words is "seventy-three million, five hundred eighty-four thousand".