75575052 has 72 divisors (see below), whose sum is σ = 227940720. Its totient is φ = 21591360.

The previous prime is 75575051. The next prime is 75575057. The reversal of 75575052 is 25057557.

75575052 is a `hidden beast` number, since 7 + 557 + 50 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75574998 and 75575016.

It is not an unprimeable number, because it can be changed into a prime (75575051) 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, 1849 + ... + 12432.

Almost surely, 2^75575052 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 75575052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113970360).

75575052 is an abundant number, since it is smaller than the sum of its proper divisors (152365668).

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

75575052 is a wasteful number, since it uses less digits than its factorization.

75575052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14308 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 75575052 is about 8693.3912830379. The cubic root of 75575052 is about 422.7914066350.

The spelling of 75575052 in words is "seventy-five million, five hundred seventy-five thousand, fifty-two".