75305052 has 60 divisors (see below), whose sum is σ = 199858120. Its totient is φ = 24719904.

The previous prime is 75305039. The next prime is 75305071. The reversal of 75305052 is 25050357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19974 + ... + 23442.

Almost surely, 2^75305052 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 75305052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99929060).

75305052 is an abundant number, since it is smaller than the sum of its proper divisors (124553068).

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

75305052 is a wasteful number, since it uses less digits than its factorization.

75305052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 75305052 is about 8677.8483508298. The cubic root of 75305052 is about 422.2873165977.

The spelling of 75305052 in words is "seventy-five million, three hundred five thousand, fifty-two".