73414200 has 96 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 18940800.

The previous prime is 73414199. The next prime is 73414223. The reversal of 73414200 is 241437.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16627 + ... + 20573.

It is an arithmetic number, because the mean of its divisors is an integer number (2447760).

Almost surely, 2^73414200 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 73414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

73414200 is an abundant number, since it is smaller than the sum of its proper divisors (161570760).

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

73414200 is a wasteful number, since it uses less digits than its factorization.

73414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 73414200 is about 8568.2086809321. The cubic root of 73414200 is about 418.7228778751.

Adding to 73414200 its reverse (241437), we get a palindrome (73655637).

The spelling of 73414200 in words is "seventy-three million, four hundred fourteen thousand, two hundred".