73296000 has 192 divisors, whose sum is σ = 263741400. Its totient is φ = 19507200.

The previous prime is 73295909. The next prime is 73296007. The reversal of 73296000 is 69237.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 39841344 = 5784^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (73296007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143746 + ... + 144254.

Almost surely, 2^73296000 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 73296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131870700).

73296000 is an abundant number, since it is smaller than the sum of its proper divisors (190445400).

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

73296000 is a wasteful number, since it uses less digits than its factorization.

73296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 73296000 is about 8561.3083112337. The cubic root of 73296000 is about 418.4980365868.

The spelling of 73296000 in words is "seventy-three million, two hundred ninety-six thousand".