214123272 has 96 divisors (see below), whose sum is σ = 596587680. Its totient is φ = 63512320.

The previous prime is 214123253. The next prime is 214123297. The reversal of 214123272 is 272321412.

It is a super-2 number, since 2×214123272² = 91697551223971968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918868 + ... + 919100.

It is an arithmetic number, because the mean of its divisors is an integer number (6214455).

Almost surely, 2^214123272 is an apocalyptic number.

214123272 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 214123272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298293840).

214123272 is an abundant number, since it is smaller than the sum of its proper divisors (382464408).

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

214123272 is a wasteful number, since it uses less digits than its factorization.

214123272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 308 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 214123272 is about 14632.9515819605. The cubic root of 214123272 is about 598.2572317212.

Adding to 214123272 its reverse (272321412), we get a palindrome (486444684).

The spelling of 214123272 in words is "two hundred fourteen million, one hundred twenty-three thousand, two hundred seventy-two".