75564225 has 48 divisors (see below), whose sum is σ = 151448640. Its totient is φ = 36633600.

The previous prime is 75564217. The next prime is 75564233. The reversal of 75564225 is 52246557.

75564225 is a `hidden beast` number, since 7 + 5 + 5 + 642 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (75564217) and next prime (75564233).

It is not a de Polignac number, because 75564225 - 2³ = 75564217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75564225.

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 47 ways as a sum of consecutive naturals, for example, 2337 + ... + 12513.

It is an arithmetic number, because the mean of its divisors is an integer number (3155180).

Almost surely, 2^75564225 is an apocalyptic number.

75564225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75564225 is an abundant number, since it is smaller than the sum of its proper divisors (75884415).

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

75564225 is a wasteful number, since it uses less digits than its factorization.

75564225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207 (or 10196 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 75564225 is about 8692.7685463263. The cubic root of 75564225 is about 422.7712157517.

It can be divided in two parts, 7556 and 4225, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 75564225 in words is "seventy-five million, five hundred sixty-four thousand, two hundred twenty-five".