75000120 has 128 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 18270720.

The previous prime is 75000113. The next prime is 75000143. The reversal of 75000120 is 2100057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 75000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204177 + ... + 204543.

It is an arithmetic number, because the mean of its divisors is an integer number (1912680).

Almost surely, 2^75000120 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 75000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

75000120 is an abundant number, since it is smaller than the sum of its proper divisors (169822920).

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

75000120 is a wasteful number, since it uses less digits than its factorization.

75000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 75000120 is about 8660.2609660448. The cubic root of 75000120 is about 421.7165575661.

Adding to 75000120 its reverse (2100057), we get a palindrome (77100177).

It can be divided in two parts, 75000 and 120, that multiplied together give a square (9000000 = 3000²).

The spelling of 75000120 in words is "seventy-five million, one hundred twenty", and thus it is an aban number.