75129120 has 480 divisors, whose sum is σ = 316141056. Its totient is φ = 16588800.

The previous prime is 75129113. The next prime is 75129121. The reversal of 75129120 is 2192157.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (75129121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423505 + ... + 2423535.

Almost surely, 2^75129120 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 75129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158070528).

75129120 is an abundant number, since it is smaller than the sum of its proper divisors (241011936).

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

75129120 is a wasteful number, since it uses less digits than its factorization.

75129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 75129120 is about 8667.7055787561. The cubic root of 75129120 is about 421.9582028488.

The spelling of 75129120 in words is "seventy-five million, one hundred twenty-nine thousand, one hundred twenty".