73296096 has 48 divisors (see below), whose sum is σ = 193841424. Its totient is φ = 24249344.

The previous prime is 73296073. The next prime is 73296103. The reversal of 73296096 is 69069237.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10366 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (4038363).

Almost surely, 2^73296096 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 73296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96920712).

73296096 is an abundant number, since it is smaller than the sum of its proper divisors (120545328).

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

73296096 is a wasteful number, since it uses less digits than its factorization.

73296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 73296096 is about 8561.3139178516. The cubic root of 73296096 is about 418.4982192970.

The spelling of 73296096 in words is "seventy-three million, two hundred ninety-six thousand, ninety-six".