75129984 has 64 divisors (see below), whose sum is σ = 221748000. Its totient is φ = 25042176.

The previous prime is 75129949. The next prime is 75129997. The reversal of 75129984 is 48992157.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7414 + ... + 14325.

Almost surely, 2^75129984 is an apocalyptic number.

It is an amenable number.

75129984 is an abundant number, since it is smaller than the sum of its proper divisors (146618016).

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

75129984 is a wasteful number, since it uses less digits than its factorization.

75129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21762 (or 21744 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 75129984 is about 8667.7554187921. The cubic root of 75129984 is about 421.9598203773.

The spelling of 75129984 in words is "seventy-five million, one hundred twenty-nine thousand, nine hundred eighty-four".