75663140 has 48 divisors (see below), whose sum is σ = 183423744. Its totient is φ = 25680000.

The previous prime is 75663139. The next prime is 75663173. The reversal of 75663140 is 4136657.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75663097 and 75663106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11465 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (3821328).

Almost surely, 2^75663140 is an apocalyptic number.

75663140 is a gapful number since it is divisible by the number (70) 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 75663140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91711872).

75663140 is an abundant number, since it is smaller than the sum of its proper divisors (107760604).

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

75663140 is a wasteful number, since it uses less digits than its factorization.

75663140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 75663140 is about 8698.4561848641. The cubic root of 75663140 is about 422.9556071575.

Adding to 75663140 its reverse (4136657), we get a palindrome (79799797).

The spelling of 75663140 in words is "seventy-five million, six hundred sixty-three thousand, one hundred forty".