75321825 has 24 divisors (see below), whose sum is σ = 127902528. Its totient is φ = 39084480.

The previous prime is 75321821. The next prime is 75321863. The reversal of 75321825 is 52812357.

It is not a de Polignac number, because 75321825 - 2² = 75321821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75321821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10797 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (5329272).

Almost surely, 2^75321825 is an apocalyptic number.

75321825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75321825 is a deficient number, since it is larger than the sum of its proper divisors (52580703).

75321825 is a wasteful number, since it uses less digits than its factorization.

75321825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27193 (or 27188 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 75321825 is about 8678.8147232211. The cubic root of 75321825 is about 422.3186668597.

It can be divided in two parts, 753 and 21825, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 75321825 in words is "seventy-five million, three hundred twenty-one thousand, eight hundred twenty-five".