214803072 has 288 divisors, whose sum is σ = 719540640. Its totient is φ = 61332480.

The previous prime is 214803067. The next prime is 214803089. The reversal of 214803072 is 270308412.

214803072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×214803072² = 92280719481274368, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3205983 + ... + 3206049.

It is an arithmetic number, because the mean of its divisors is an integer number (2498405).

Almost surely, 2^214803072 is an apocalyptic number.

214803072 is a gapful number since it is divisible by the number (22) 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 214803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359770320).

214803072 is an abundant number, since it is smaller than the sum of its proper divisors (504737568).

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

214803072 is a wasteful number, since it uses less digits than its factorization.

214803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 214803072 is about 14656.1615711618. The cubic root of 214803072 is about 598.8896799163.

The spelling of 214803072 in words is "two hundred fourteen million, eight hundred three thousand, seventy-two".