75273200 has 60 divisors (see below), whose sum is σ = 181859640. Its totient is φ = 29940480.

The previous prime is 75273199. The next prime is 75273221. The reversal of 75273200 is 237257.

It is a self number, because there is not a number n which added to its sum of digits gives 75273200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90386 + ... + 91214.

It is an arithmetic number, because the mean of its divisors is an integer number (3030994).

Almost surely, 2^75273200 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 75273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90929820).

75273200 is an abundant number, since it is smaller than the sum of its proper divisors (106586440).

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

75273200 is a wasteful number, since it uses less digits than its factorization.

75273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 75273200 is about 8676.0129091651. The cubic root of 75273200 is about 422.2277694972.

The spelling of 75273200 in words is "seventy-five million, two hundred seventy-three thousand, two hundred".