272807430 has 128 divisors (see below), whose sum is σ = 772374528. Its totient is φ = 60383232.

The previous prime is 272807429. The next prime is 272807443. The reversal of 272807430 is 34708272.

It is a junction number, because it is equal to n+sod(n) for n = 272807391 and 272807400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1413414 + ... + 1413606.

It is an arithmetic number, because the mean of its divisors is an integer number (6034176).

Almost surely, 2^272807430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272807430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386187264).

272807430 is an abundant number, since it is smaller than the sum of its proper divisors (499567098).

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

272807430 is a wasteful number, since it uses less digits than its factorization.

272807430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 272807430 is about 16516.8831805520. The cubic root of 272807430 is about 648.5628445028.

The spelling of 272807430 in words is "two hundred seventy-two million, eight hundred seven thousand, four hundred thirty".