272303630430 has 128 divisors (see below), whose sum is σ = 726415603200. Its totient is φ = 64908670464.

The previous prime is 272303630429. The next prime is 272303630441. The reversal of 272303630430 is 34036303272.

It is a junction number, because it is equal to n+sod(n) for n = 272303630391 and 272303630400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453356 + ... + 1629984.

It is an arithmetic number, because the mean of its divisors is an integer number (5675121900).

Almost surely, 2^272303630430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272303630430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363207801600).

272303630430 is an abundant number, since it is smaller than the sum of its proper divisors (454111972770).

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

272303630430 is a wasteful number, since it uses less digits than its factorization.

272303630430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176778.

The product of its (nonzero) digits is 54432, while the sum is 33.

The spelling of 272303630430 in words is "two hundred seventy-two billion, three hundred three million, six hundred thirty thousand, four hundred thirty".