75263040 has 224 divisors, whose sum is σ = 275051520. Its totient is φ = 19353600.

The previous prime is 75263017. The next prime is 75263057. The reversal of 75263040 is 4036257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75262995 and 75263013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267700 + ... + 267980.

Almost surely, 2^75263040 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 75263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137525760).

75263040 is an abundant number, since it is smaller than the sum of its proper divisors (199788480).

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

75263040 is a wasteful number, since it uses less digits than its factorization.

75263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75263040 is about 8675.4273669947. The cubic root of 75263040 is about 422.2087719117.

Adding to 75263040 its reverse (4036257), we get a palindrome (79299297).

The spelling of 75263040 in words is "seventy-five million, two hundred sixty-three thousand, forty".