75116052 has 96 divisors (see below), whose sum is σ = 216639360. Its totient is φ = 22314240.

The previous prime is 75116039. The next prime is 75116057. The reversal of 75116052 is 25061157.

75116052 is a `hidden beast` number, since 7 + 51 + 1 + 605 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75116057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62368 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (2256660).

Almost surely, 2^75116052 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 75116052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108319680).

75116052 is an abundant number, since it is smaller than the sum of its proper divisors (141523308).

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

75116052 is a wasteful number, since it uses less digits than its factorization.

75116052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 75116052 is about 8666.9517132611. The cubic root of 75116052 is about 421.9337362170.

The spelling of 75116052 in words is "seventy-five million, one hundred sixteen thousand, fifty-two".