75136432420 has 72 divisors (see below), whose sum is σ = 184499058744. Its totient is φ = 25627521024.

The previous prime is 75136432403. The next prime is 75136432421. The reversal of 75136432420 is 2423463157.

It can be written as a sum of positive squares in 4 ways, for example, as 2362737664 + 72773694756 = 48608^2 + 269766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75136432420.

It is not an unprimeable number, because it can be changed into a prime (75136432421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487 + ... + 387766.

It is an arithmetic number, because the mean of its divisors is an integer number (2562486927).

Almost surely, 2^75136432420 is an apocalyptic number.

75136432420 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 75136432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92249529372).

75136432420 is an abundant number, since it is smaller than the sum of its proper divisors (109362626324).

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

75136432420 is a wasteful number, since it uses less digits than its factorization.

75136432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397469 (or 397460 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

Adding to 75136432420 its reverse (2423463157), we get a palindrome (77559895577).

The spelling of 75136432420 in words is "seventy-five billion, one hundred thirty-six million, four hundred thirty-two thousand, four hundred twenty".