73075200 has 240 divisors, whose sum is σ = 264866976. Its totient is φ = 17612800.

The previous prime is 73075193. The next prime is 73075207. The reversal of 73075200 is 257037.

It is an interprime number because it is at equal distance from previous prime (73075193) and next prime (73075207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (73075207) 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, 422314 + ... + 422486.

Almost surely, 2^73075200 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 73075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132433488).

73075200 is an abundant number, since it is smaller than the sum of its proper divisors (191791776).

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

73075200 is a wasteful number, since it uses less digits than its factorization.

73075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 73075200 is about 8548.4033596924. The cubic root of 73075200 is about 418.0773801176.

The spelling of 73075200 in words is "seventy-three million, seventy-five thousand, two hundred".