214461072 has 120 divisors (see below), whose sum is σ = 690967680. Its totient is φ = 60825600.

The previous prime is 214461067. The next prime is 214461089. The reversal of 214461072 is 270164412.

214461072 is a `hidden beast` number, since 2 + 1 + 44 + 610 + 7 + 2 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 151504 + ... + 152912.

It is an arithmetic number, because the mean of its divisors is an integer number (5758064).

Almost surely, 2^214461072 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 214461072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345483840).

214461072 is an abundant number, since it is smaller than the sum of its proper divisors (476506608).

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

214461072 is a wasteful number, since it uses less digits than its factorization.

214461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1572 counting only the distinct ones).

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

The square root of 214461072 is about 14644.4894755673. The cubic root of 214461072 is about 598.5716691498.

The spelling of 214461072 in words is "two hundred fourteen million, four hundred sixty-one thousand, seventy-two".