214272000 has 384 divisors, whose sum is σ = 817689600. Its totient is φ = 55296000.

The previous prime is 214271999. The next prime is 214272001. The reversal of 214272000 is 272412.

214272000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214271999) and next prime (214272001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (214272001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911985 + ... + 6912015.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^214272000 is an apocalyptic number.

214272000 is a gapful number since it is divisible by the number (20) 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 214272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

214272000 is an abundant number, since it is smaller than the sum of its proper divisors (603417600).

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

214272000 is an equidigital number, since it uses as much as digits as its factorization.

214272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 214272000 is about 14638.0326546978. The cubic root of 214272000 is about 598.3957142686.

The spelling of 214272000 in words is "two hundred fourteen million, two hundred seventy-two thousand".