73706000 has 80 divisors (see below), whose sum is σ = 180189360. Its totient is φ = 29158400.

The previous prime is 73705991. The next prime is 73706021. The reversal of 73706000 is 60737.

It can be written as a sum of positive squares in 8 ways, for example, as 39740416 + 33965584 = 6304^2 + 5828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273866 + ... + 274134.

It is an arithmetic number, because the mean of its divisors is an integer number (2252367).

Almost surely, 2^73706000 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 73706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90094680).

73706000 is an abundant number, since it is smaller than the sum of its proper divisors (106483360).

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

73706000 is a wasteful number, since it uses less digits than its factorization.

73706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 73706000 is about 8585.2198574061. The cubic root of 73706000 is about 419.2769115237.

Adding to 73706000 its reverse (60737), we get a palindrome (73766737).

The spelling of 73706000 in words is "seventy-three million, seven hundred six thousand".