73228200 has 144 divisors (see below), whose sum is σ = 236413440. Its totient is φ = 18748800.

The previous prime is 73228187. The next prime is 73228213. The reversal of 73228200 is 282237.

It is an interprime number because it is at equal distance from previous prime (73228187) and next prime (73228213).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 576537 + ... + 576663.

It is an arithmetic number, because the mean of its divisors is an integer number (1641760).

Almost surely, 2^73228200 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 73228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118206720).

73228200 is an abundant number, since it is smaller than the sum of its proper divisors (163185240).

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

73228200 is a wasteful number, since it uses less digits than its factorization.

73228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73228200 is about 8557.3477199422. The cubic root of 73228200 is about 418.3689576000.

The spelling of 73228200 in words is "seventy-three million, two hundred twenty-eight thousand, two hundred".