75807252 has 42 divisors (see below), whose sum is σ = 198910698. Its totient is φ = 25268112.

The previous prime is 75807239. The next prime is 75807257. The reversal of 75807252 is 25270857.

75807252 is a `hidden beast` number, since 7 + 580 + 72 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50041476 + 25765776 = 7074^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75807257) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10083 + ... + 15914.

It is an arithmetic number, because the mean of its divisors is an integer number (4735969).

Almost surely, 2^75807252 is an apocalyptic number.

It is an amenable number.

75807252 is an abundant number, since it is smaller than the sum of its proper divisors (123103446).

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

75807252 is a wasteful number, since it uses less digits than its factorization.

75807252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26019 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75807252 is about 8706.7360129959. The cubic root of 75807252 is about 423.2239646927.

The spelling of 75807252 in words is "seventy-five million, eight hundred seven thousand, two hundred fifty-two".