214729272 has 128 divisors (see below), whose sum is σ = 621984000. Its totient is φ = 68584320.

The previous prime is 214729247. The next prime is 214729301. The reversal of 214729272 is 272927412.

It is a super-2 number, since 2×214729272² = 92217320507299968, which contains 22 as substring.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566379 + ... + 566757.

It is an arithmetic number, because the mean of its divisors is an integer number (4859250).

Almost surely, 2^214729272 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 214729272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310992000).

214729272 is an abundant number, since it is smaller than the sum of its proper divisors (407254728).

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

214729272 is a wasteful number, since it uses less digits than its factorization.

214729272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 214729272 is about 14653.6436424529. The cubic root of 214729272 is about 598.8210851166.

The spelling of 214729272 in words is "two hundred fourteen million, seven hundred twenty-nine thousand, two hundred seventy-two".