75052120 has 64 divisors (see below), whose sum is σ = 198404640. Its totient is φ = 25190400.

The previous prime is 75052111. The next prime is 75052129. The reversal of 75052120 is 2125057.

It is an interprime number because it is at equal distance from previous prime (75052111) and next prime (75052129).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 75052091 and 75052100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75052129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841 + ... + 12280.

Almost surely, 2^75052120 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 75052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99202320).

75052120 is an abundant number, since it is smaller than the sum of its proper divisors (123352520).

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

75052120 is a wasteful number, since it uses less digits than its factorization.

75052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 75052120 is about 8663.2626648394. The cubic root of 75052120 is about 421.8139982763.

Adding to 75052120 its reverse (2125057), we get a palindrome (77177177).

The spelling of 75052120 in words is "seventy-five million, fifty-two thousand, one hundred twenty".