75825040 has 40 divisors (see below), whose sum is σ = 176973048. Its totient is φ = 30213120.

The previous prime is 75825019. The next prime is 75825073. The reversal of 75825040 is 4052857.

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 40398736 = 5952^2 + 6356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 75824993 and 75825011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20794 + ... + 24166.

Almost surely, 2^75825040 is an apocalyptic number.

It is an amenable number.

75825040 is an abundant number, since it is smaller than the sum of its proper divisors (101148008).

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

75825040 is a wasteful number, since it uses less digits than its factorization.

75825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 75825040 is about 8707.7574610229. The cubic root of 75825040 is about 423.2570649521.

Adding to 75825040 its reverse (4052857), we get a palindrome (79877897).

The spelling of 75825040 in words is "seventy-five million, eight hundred twenty-five thousand, forty".