214435072 has 72 divisors (see below), whose sum is σ = 453277440. Its totient is φ = 101038080.

The previous prime is 214435063. The next prime is 214435097. The reversal of 214435072 is 270534412.

It is a self number, because there is not a number n which added to its sum of digits gives 214435072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464922 + ... + 465382.

It is an arithmetic number, because the mean of its divisors is an integer number (6295520).

Almost surely, 2^214435072 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 214435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226638720).

214435072 is an abundant number, since it is smaller than the sum of its proper divisors (238842368).

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

214435072 is an equidigital number, since it uses as much as digits as its factorization.

214435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 214435072 is about 14643.6017427408. The cubic root of 214435072 is about 598.5474790684.

Adding to 214435072 its reverse (270534412), we get a palindrome (484969484).

The spelling of 214435072 in words is "two hundred fourteen million, four hundred thirty-five thousand, seventy-two".