216125672 has 64 divisors (see below), whose sum is σ = 479040000. Its totient is φ = 91361088.

The previous prime is 216125669. The next prime is 216125683. The reversal of 216125672 is 276521612.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 216278 + ... + 217274.

It is an arithmetic number, because the mean of its divisors is an integer number (7485000).

Almost surely, 2^216125672 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 216125672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239520000).

216125672 is an abundant number, since it is smaller than the sum of its proper divisors (262914328).

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

216125672 is an equidigital number, since it uses as much as digits as its factorization.

216125672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1085 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 216125672 is about 14701.2132832634. The cubic root of 216125672 is about 600.1163404030.

The spelling of 216125672 in words is "two hundred sixteen million, one hundred twenty-five thousand, six hundred seventy-two".