215328672 has 192 divisors, whose sum is σ = 712656000. Its totient is φ = 62705664.

The previous prime is 215328671. The next prime is 215328677. The reversal of 215328672 is 276823512.

215328672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (215328671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212904 + ... + 213912.

It is an arithmetic number, because the mean of its divisors is an integer number (3711750).

Almost surely, 2^215328672 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 215328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356328000).

215328672 is an abundant number, since it is smaller than the sum of its proper divisors (497327328).

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

215328672 is a wasteful number, since it uses less digits than its factorization.

215328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 215328672 is about 14674.0816407706. The cubic root of 215328672 is about 599.3777549082.

It can be divided in two parts, 215328 and 672, that added together give a cube (216000 = 60³).

The spelling of 215328672 in words is "two hundred fifteen million, three hundred twenty-eight thousand, six hundred seventy-two".