216387072 has 160 divisors (see below), whose sum is σ = 699240960. Its totient is φ = 65525760.

The previous prime is 216387071. The next prime is 216387089. The reversal of 216387072 is 270783612.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216387071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151353 + ... + 152775.

It is an arithmetic number, because the mean of its divisors is an integer number (4370256).

Almost surely, 2^216387072 is an apocalyptic number.

216387072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349620480).

216387072 is an abundant number, since it is smaller than the sum of its proper divisors (482853888).

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

216387072 is a wasteful number, since it uses less digits than its factorization.

216387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 216387072 is about 14710.1010193676. The cubic root of 216387072 is about 600.3581861286.

The spelling of 216387072 in words is "two hundred sixteen million, three hundred eighty-seven thousand, seventy-two".