73009600 has 42 divisors (see below), whose sum is σ = 179653184. Its totient is φ = 29203200.

The previous prime is 73009597. The next prime is 73009603. The reversal of 73009600 is 690037.

It is an interprime number because it is at equal distance from previous prime (73009597) and next prime (73009603).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73009603) 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, 21216 + ... + 24415.

Almost surely, 2^73009600 is an apocalyptic number.

It is an amenable number.

73009600 is an abundant number, since it is smaller than the sum of its proper divisors (106643584).

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

73009600 is a wasteful number, since it uses less digits than its factorization.

73009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45653 (or 45638 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 73009600 is about 8544.5655243552. The cubic root of 73009600 is about 417.9522392261.

Adding to 73009600 its reverse (690037), we get a palindrome (73699637).

It can be divided in two parts, 7300 and 9600, that added together give a square (16900 = 130²).

The spelling of 73009600 in words is "seventy-three million, nine thousand, six hundred".