214713672 has 64 divisors (see below), whose sum is σ = 580504320. Its totient is φ = 65922048.

The previous prime is 214713643. The next prime is 214713691. The reversal of 214713672 is 276317412.

It is a super-2 number, since 2×214713672² = 92203921887447168, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13578 + ... + 24774.

It is an arithmetic number, because the mean of its divisors is an integer number (9070380).

Almost surely, 2^214713672 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 214713672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290252160).

214713672 is an abundant number, since it is smaller than the sum of its proper divisors (365790648).

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

214713672 is a wasteful number, since it uses less digits than its factorization.

214713672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11266 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 214713672 is about 14653.1113419642. Note that the first 3 decimals coincide. The cubic root of 214713672 is about 598.8065833907.

The spelling of 214713672 in words is "two hundred fourteen million, seven hundred thirteen thousand, six hundred seventy-two".