75564300 has 72 divisors (see below), whose sum is σ = 249872896. Its totient is φ = 17271360.

The previous prime is 75564289. The next prime is 75564319. The reversal of 75564300 is 346557.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15892 + ... + 20091.

Almost surely, 2^75564300 is an apocalyptic number.

75564300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75564300 is an abundant number, since it is smaller than the sum of its proper divisors (174308596).

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

75564300 is a wasteful number, since it uses less digits than its factorization.

75564300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36007 (or 36000 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 75564300 is about 8692.7728602558. The cubic root of 75564300 is about 422.7713556231.

The spelling of 75564300 in words is "seventy-five million, five hundred sixty-four thousand, three hundred".