75429225 has 45 divisors (see below), whose sum is σ = 140448693. Its totient is φ = 40020480.

The previous prime is 75429223. The next prime is 75429227. The reversal of 75429225 is 52292457.

It is a happy number.

The square root of 75429225 is 8685.

It is a perfect power (a square), and thus also a powerful number.

75429225 is a `hidden beast` number, since 7 + 5 + 429 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (75429223) and next prime (75429227).

It can be written as a sum of positive squares in 4 ways, for example, as 12131289 + 63297936 = 3483^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 75429225 - 2¹ = 75429223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75429225.

It is not an unprimeable number, because it can be changed into a prime (75429223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 390729 + ... + 390921.

Almost surely, 2^75429225 is an apocalyptic number.

75429225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75429225 is the 8685-th square number.

75429225 is the 4343-rd centered octagonal number.

It is an amenable number.

75429225 is a deficient number, since it is larger than the sum of its proper divisors (65019468).

75429225 is an equidigital number, since it uses as much as digits as its factorization.

75429225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 201 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The cubic root of 75429225 is about 422.5192969957.

Multiplying 75429225 by its sum of digits (36), we get a square (2715452100 = 52110²).

The spelling of 75429225 in words is "seventy-five million, four hundred twenty-nine thousand, two hundred twenty-five".