73007300 has 54 divisors (see below), whose sum is σ = 161798238. Its totient is φ = 28592640.

The previous prime is 73007293. The next prime is 73007303. The reversal of 73007300 is 370037.

It can be written as a sum of positive squares in 9 ways, for example, as 12292036 + 60715264 = 3506^2 + 7792^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73007303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 532832 + ... + 532968.

Almost surely, 2^73007300 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 73007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80899119).

73007300 is an abundant number, since it is smaller than the sum of its proper divisors (88790938).

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

73007300 is a wasteful number, since it uses less digits than its factorization.

73007300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 217 counting only the distinct ones).

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

The square root of 73007300 is about 8544.4309348253. The cubic root of 73007300 is about 417.9478503044.

Adding to 73007300 its reverse (370037), we get a palindrome (73377337).

The spelling of 73007300 in words is "seventy-three million, seven thousand, three hundred".