75280128 has 288 divisors, whose sum is σ = 266864640. Its totient is φ = 18247680.

The previous prime is 75280111. The next prime is 75280129. The reversal of 75280128 is 82108257.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75280129) 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, 1123551 + ... + 1123617.

Almost surely, 2^75280128 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 75280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432320).

75280128 is an abundant number, since it is smaller than the sum of its proper divisors (191584512).

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

75280128 is a wasteful number, since it uses less digits than its factorization.

75280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 75280128 is about 8676.4121617175. The cubic root of 75280128 is about 422.2407227761.

The spelling of 75280128 in words is "seventy-five million, two hundred eighty thousand, one hundred twenty-eight".