75112128 has 168 divisors, whose sum is σ = 265163808. Its totient is φ = 19795968.

The previous prime is 75112061. The next prime is 75112139. The reversal of 75112128 is 82121157.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51700 + ... + 53132.

It is an arithmetic number, because the mean of its divisors is an integer number (1578356).

Almost surely, 2^75112128 is an apocalyptic number.

75112128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132581904).

75112128 is an abundant number, since it is smaller than the sum of its proper divisors (190051680).

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

75112128 is a wasteful number, since it uses less digits than its factorization.

75112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 75112128 is about 8666.7253331348. The cubic root of 75112128 is about 421.9263889334.

The spelling of 75112128 in words is "seventy-five million, one hundred twelve thousand, one hundred twenty-eight".