73348320 has 48 divisors (see below), whose sum is σ = 231048720. Its totient is φ = 19559424.

The previous prime is 73348309. The next prime is 73348339. The reversal of 73348320 is 2384337.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75925 + ... + 76884.

It is an arithmetic number, because the mean of its divisors is an integer number (4813515).

Almost surely, 2^73348320 is an apocalyptic number.

It is an amenable number.

73348320 is an abundant number, since it is smaller than the sum of its proper divisors (157700400).

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

73348320 is a wasteful number, since it uses less digits than its factorization.

73348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152827 (or 152819 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 73348320 is about 8564.3633738883. The cubic root of 73348320 is about 418.5975900388.

The spelling of 73348320 in words is "seventy-three million, three hundred forty-eight thousand, three hundred twenty".