75147120 has 240 divisors, whose sum is σ = 269848800. Its totient is φ = 18708480.

The previous prime is 75147119. The next prime is 75147139. The reversal of 75147120 is 2174157.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231890 + ... + 1231950.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^75147120 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 75147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134924400).

75147120 is an abundant number, since it is smaller than the sum of its proper divisors (194701680).

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

75147120 is a wasteful number, since it uses less digits than its factorization.

75147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75147120 is about 8668.7438536388. The cubic root of 75147120 is about 421.9918987985.

The spelling of 75147120 in words is "seventy-five million, one hundred forty-seven thousand, one hundred twenty".