75824238 has 64 divisors (see below), whose sum is σ = 184384512. Its totient is φ = 20317440.

The previous prime is 75824209. The next prime is 75824239. The reversal of 75824238 is 83242857.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75824196 and 75824205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75824239) 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, 50458 + ... + 51938.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 2^75824238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75824238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92192256).

75824238 is an abundant number, since it is smaller than the sum of its proper divisors (108560274).

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

75824238 is a wasteful number, since it uses less digits than its factorization.

75824238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569.

The product of its digits is 107520, while the sum is 39.

The square root of 75824238 is about 8707.7114100089. The cubic root of 75824238 is about 423.2555726862.

The spelling of 75824238 in words is "seventy-five million, eight hundred twenty-four thousand, two hundred thirty-eight".