73728432000 has 768 divisors, whose sum is σ = 280149217920. Its totient is φ = 18545049600.

The previous prime is 73728431983. The next prime is 73728432031. The reversal of 73728432000 is 23482737.

73728432000 is a `hidden beast` number, since 7 + 372 + 84 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374255902 + ... + 374256098.

Almost surely, 2^73728432000 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 73728432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140074608960).

73728432000 is an abundant number, since it is smaller than the sum of its proper divisors (206420785920).

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

73728432000 is a wasteful number, since it uses less digits than its factorization.

73728432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 73728432000 in words is "seventy-three billion, seven hundred twenty-eight million, four hundred thirty-two thousand".