73042200 has 576 divisors, whose sum is σ = 334264320. Its totient is φ = 13824000.

The previous prime is 73042187. The next prime is 73042243. The reversal of 73042200 is 224037.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2356185 + ... + 2356215.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^73042200 is an apocalyptic number.

73042200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

73042200 is an abundant number, since it is smaller than the sum of its proper divisors (261222120).

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

73042200 is a wasteful number, since it uses less digits than its factorization.

73042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 73042200 is about 8546.4729567231. The cubic root of 73042200 is about 418.0144375102.

Adding to 73042200 its reverse (224037), we get a palindrome (73266237).

The spelling of 73042200 in words is "seventy-three million, forty-two thousand, two hundred".