73164800 has 72 divisors (see below), whose sum is σ = 181531350. Its totient is φ = 29245440.

The previous prime is 73164769. The next prime is 73164809. The reversal of 73164800 is 846137.

It can be written as a sum of positive squares in 3 ways, for example, as 35808256 + 37356544 = 5984^2 + 6112^2 .

It is not an unprimeable number, because it can be changed into a prime (73164809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50486 + ... + 51914.

Almost surely, 2^73164800 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 73164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90765675).

73164800 is an abundant number, since it is smaller than the sum of its proper divisors (108366550).

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

73164800 is a wasteful number, since it uses less digits than its factorization.

73164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 73164800 is about 8553.6424989591. The cubic root of 73164800 is about 418.2481833151.

The spelling of 73164800 in words is "seventy-three million, one hundred sixty-four thousand, eight hundred".