73066200 has 96 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 19062400.

The previous prime is 73066183. The next prime is 73066271. The reversal of 73066200 is 266037.

73066200 = 212² + 213² + ... + 611².

It is a super-3 number, since 3×73066200³ (a number of 25 digits) contains 333 as substring.

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

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, 26905 + ... + 29495.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^73066200 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 73066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

73066200 is an abundant number, since it is smaller than the sum of its proper divisors (158347560).

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

73066200 is a wasteful number, since it uses less digits than its factorization.

73066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 73066200 is about 8547.8769293901. The cubic root of 73066200 is about 418.0602158315.

The spelling of 73066200 in words is "seventy-three million, sixty-six thousand, two hundred".