73540200 has 144 divisors (see below), whose sum is σ = 241189920. Its totient is φ = 18501120.

The previous prime is 73540193. The next prime is 73540217. The reversal of 73540200 is 204537.

It is a happy number.

It is a super-2 number, since 2×73540200² = 10816322032080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1007364 + ... + 1007436.

It is an arithmetic number, because the mean of its divisors is an integer number (1674930).

Almost surely, 2^73540200 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 73540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120594960).

73540200 is an abundant number, since it is smaller than the sum of its proper divisors (167649720).

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

73540200 is a wasteful number, since it uses less digits than its factorization.

73540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 73540200 is about 8575.5582908636. The cubic root of 73540200 is about 418.9622908137.

Adding to 73540200 its reverse (204537), we get a palindrome (73744737).

The spelling of 73540200 in words is "seventy-three million, five hundred forty thousand, two hundred".