73730000 has 100 divisors (see below), whose sum is σ = 182744628. Its totient is φ = 28800000.

The previous prime is 73729987. The next prime is 73730017. The reversal of 73730000 is 3737.

It can be written as a sum of positive squares in 10 ways, for example, as 33686416 + 40043584 = 5804^2 + 6328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×73730000² = 10872225800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 729950 + ... + 730050.

Almost surely, 2^73730000 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 73730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91372314).

73730000 is an abundant number, since it is smaller than the sum of its proper divisors (109014628).

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

73730000 is a wasteful number, since it uses less digits than its factorization.

73730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 73730000 is about 8586.6174946832. The cubic root of 73730000 is about 419.3224146210.

Adding to 73730000 its reverse (3737), we get a palindrome (73733737).

It can be divided in two parts, 73 and 730000, that multiplied together give a square (53290000 = 7300²).

The spelling of 73730000 in words is "seventy-three million, seven hundred thirty thousand".