73267200 has 288 divisors, whose sum is σ = 274201200. Its totient is φ = 19169280.

The previous prime is 73267199. The next prime is 73267217. The reversal of 73267200 is 276237.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382374 + ... + 1382426.

Almost surely, 2^73267200 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 73267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

73267200 is an abundant number, since it is smaller than the sum of its proper divisors (200934000).

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

73267200 is a wasteful number, since it uses less digits than its factorization.

73267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73267200 is about 8559.6261600610. The cubic root of 73267200 is about 418.4432163036.

The spelling of 73267200 in words is "seventy-three million, two hundred sixty-seven thousand, two hundred".