73288320 has 384 divisors, whose sum is σ = 293025600. Its totient is φ = 15482880.

The previous prime is 73288291. The next prime is 73288333. The reversal of 73288320 is 2388237.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787500 + ... + 1787540.

Almost surely, 2^73288320 is an apocalyptic number.

73288320 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 73288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

73288320 is an abundant number, since it is smaller than the sum of its proper divisors (219737280).

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

73288320 is a wasteful number, since it uses less digits than its factorization.

73288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 73288320 is about 8560.8597699063. The cubic root of 73288320 is about 418.4834192489.

The spelling of 73288320 in words is "seventy-three million, two hundred eighty-eight thousand, three hundred twenty".