73006200 has 72 divisors (see below), whose sum is σ = 245185200. Its totient is φ = 19467840.

The previous prime is 73006183. The next prime is 73006201. The reversal of 73006200 is 260037.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73006201) 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, 18480 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (3405350).

Almost surely, 2^73006200 is an apocalyptic number.

It is an amenable number.

73006200 is an abundant number, since it is smaller than the sum of its proper divisors (172179000).

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

73006200 is a wasteful number, since it uses less digits than its factorization.

73006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40581 (or 40569 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73006200 is about 8544.3665651703. The cubic root of 73006200 is about 417.9457512224.

Adding to 73006200 its reverse (260037), we get a palindrome (73266237).

The spelling of 73006200 in words is "seventy-three million, six thousand, two hundred".