73468800 has 144 divisors (see below), whose sum is σ = 262256280. Its totient is φ = 19584000.

The previous prime is 73468793. The next prime is 73468817. The reversal of 73468800 is 886437.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27525 + ... + 30075.

Almost surely, 2^73468800 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 73468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131128140).

73468800 is an abundant number, since it is smaller than the sum of its proper divisors (188787480).

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

73468800 is a wasteful number, since it uses less digits than its factorization.

73468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73468800 is about 8571.3942856457. The cubic root of 73468800 is about 418.8266570882.

The spelling of 73468800 in words is "seventy-three million, four hundred sixty-eight thousand, eight hundred".