73166400 has 126 divisors (see below), whose sum is σ = 260101842. Its totient is φ = 19507200.

The previous prime is 73166399. The next prime is 73166411. The reversal of 73166400 is 466137.

73166400 is a `hidden beast` number, since 7 + 3 + 16 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 72999936 = 408^2 + 8544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11860 + ... + 16940.

Almost surely, 2^73166400 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 73166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130050921).

73166400 is an abundant number, since it is smaller than the sum of its proper divisors (186935442).

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

73166400 is a wasteful number, since it uses less digits than its factorization.

73166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73166400 is about 8553.7360258544. The cubic root of 73166400 is about 418.2512321046.

The spelling of 73166400 in words is "seventy-three million, one hundred sixty-six thousand, four hundred".