213132672 has 96 divisors (see below), whose sum is σ = 649448280. Its totient is φ = 66859008.

The previous prime is 213132659. The next prime is 213132679. The reversal of 213132672 is 276231312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14143 + ... + 25025.

Almost surely, 2^213132672 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 213132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324724140).

213132672 is an abundant number, since it is smaller than the sum of its proper divisors (436315608).

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

213132672 is a wasteful number, since it uses less digits than its factorization.

213132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10905 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 213132672 is about 14599.0640795909. The cubic root of 213132672 is about 597.3332314697. Note that the first 3 decimals are identical.

Adding to 213132672 its reverse (276231312), we get a palindrome (489363984).

The spelling of 213132672 in words is "two hundred thirteen million, one hundred thirty-two thousand, six hundred seventy-two".