75225204 has 72 divisors (see below), whose sum is σ = 203498568. Its totient is φ = 23347200.

The previous prime is 75225197. The next prime is 75225211. The reversal of 75225204 is 40252257.

75225204 = T₃₉₇ + T₃₉₈ + ... + T₈₀₀.

It is an interprime number because it is at equal distance from previous prime (75225197) and next prime (75225211).

It can be written as a sum of positive squares in 4 ways, for example, as 34928100 + 40297104 = 5910^2 + 6348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61204 + ... + 62420.

It is an arithmetic number, because the mean of its divisors is an integer number (2826369).

Almost surely, 2^75225204 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 75225204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101749284).

75225204 is an abundant number, since it is smaller than the sum of its proper divisors (128273364).

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

75225204 is a wasteful number, since it uses less digits than its factorization.

75225204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 75225204 is about 8673.2464510124. The cubic root of 75225204 is about 422.1380095616.

The spelling of 75225204 in words is "seventy-five million, two hundred twenty-five thousand, two hundred four".