214872 has 32 divisors (see below), whose sum is σ = 614400. Its totient is φ = 61344.

The previous prime is 214867. The next prime is 214883. The reversal of 214872 is 278412.

214872 is digitally balanced in base 2, 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2²¹⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

214872 is an abundant number, since it is smaller than the sum of its proper divisors (399528).

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

214872 is a wasteful number, since it uses less digits than its factorization.

214872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 214872 is about 463.5428782756. The cubic root of 214872 is about 59.8953732155.

The spelling of 214872 in words is "two hundred fourteen thousand, eight hundred seventy-two".