214208072 has 32 divisors (see below), whose sum is σ = 436839480. Its totient is φ = 97881600.

The previous prime is 214208053. The next prime is 214208087. The reversal of 214208072 is 270802412.

It can be written as a sum of positive squares in 4 ways, for example, as 198415396 + 15792676 = 14086^2 + 3974^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308 + ... + 20700.

Almost surely, 2^214208072 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 214208072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419740).

214208072 is an abundant number, since it is smaller than the sum of its proper divisors (222631408).

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

214208072 is a wasteful number, since it uses less digits than its factorization.

214208072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 214208072 is about 14635.8488650300. The cubic root of 214208072 is about 598.3361979432.

It can be divided in two parts, 21420 and 8072, that added together give a palindrome (29492).

The spelling of 214208072 in words is "two hundred fourteen million, two hundred eight thousand, seventy-two".