75505600 has 84 divisors (see below), whose sum is σ = 190487808. Its totient is φ = 29440000.

The previous prime is 75505523. The next prime is 75505603. The reversal of 75505600 is 650557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75505603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65025 + ... + 66175.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^75505600 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 75505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

75505600 is an abundant number, since it is smaller than the sum of its proper divisors (114982208).

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

75505600 is a wasteful number, since it uses less digits than its factorization.

75505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 75505600 is about 8689.3958363053. The cubic root of 75505600 is about 422.6618545871.

The spelling of 75505600 in words is "seventy-five million, five hundred five thousand, six hundred".