214075872 has 60 divisors (see below), whose sum is σ = 629598816. Its totient is φ = 71357760.

The previous prime is 214075867. The next prime is 214075879. The reversal of 214075872 is 278570412.

214075872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214075879) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38704 + ... + 43887.

Almost surely, 2^214075872 is an apocalyptic number.

It is an amenable number.

214075872 is an abundant number, since it is smaller than the sum of its proper divisors (415522944).

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

214075872 is an equidigital number, since it uses as much as digits as its factorization.

214075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82613 (or 82596 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 214075872 is about 14631.3318600871. The cubic root of 214075872 is about 598.2130834988.

The spelling of 214075872 in words is "two hundred fourteen million, seventy-five thousand, eight hundred seventy-two".