214158672 has 240 divisors, whose sum is σ = 752868480. Its totient is φ = 55323648.

The previous prime is 214158661. The next prime is 214158677. The reversal of 214158672 is 276851412.

214158672 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 586 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214158677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772998 + ... + 773274.

It is an arithmetic number, because the mean of its divisors is an integer number (3136952).

Almost surely, 2^214158672 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 214158672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376434240).

214158672 is an abundant number, since it is smaller than the sum of its proper divisors (538709808).

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

214158672 is a wasteful number, since it uses less digits than its factorization.

214158672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 214158672 is about 14634.1611307242. The cubic root of 214158672 is about 598.2901989287.

The spelling of 214158672 in words is "two hundred fourteen million, one hundred fifty-eight thousand, six hundred seventy-two".