73348800 has 336 divisors, whose sum is σ = 287243520. Its totient is φ = 16035840.

The previous prime is 73348799. The next prime is 73348819. The reversal of 73348800 is 884337.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×73348800² = 10760092922880000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1243171 + ... + 1243229.

Almost surely, 2^73348800 is an apocalyptic number.

73348800 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 73348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

73348800 is an abundant number, since it is smaller than the sum of its proper divisors (213894720).

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

73348800 is a wasteful number, since it uses less digits than its factorization.

73348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

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

The square root of 73348800 is about 8564.3913969412. The cubic root of 73348800 is about 418.5985031540.

The spelling of 73348800 in words is "seventy-three million, three hundred forty-eight thousand, eight hundred".