73800216 has 96 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 20943360.

The previous prime is 73800211. The next prime is 73800217. The reversal of 73800216 is 61200837.

It is a self number, because there is not a number n which added to its sum of digits gives 73800216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73800211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90820 + ... + 91628.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^73800216 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 73800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

73800216 is an abundant number, since it is smaller than the sum of its proper divisors (156174984).

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

73800216 is a wasteful number, since it uses less digits than its factorization.

73800216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73800216 is about 8590.7052097019. The cubic root of 73800216 is about 419.4554848366.

The spelling of 73800216 in words is "seventy-three million, eight hundred thousand, two hundred sixteen".