219072132 has 72 divisors (see below), whose sum is σ = 588736512. Its totient is φ = 68448000.

The previous prime is 219072127. The next prime is 219072137. The reversal of 219072132 is 231270912.

It is an interprime number because it is at equal distance from previous prime (219072127) and next prime (219072137).

It is a junction number, because it is equal to n+sod(n) for n = 219072096 and 219072105.

It is not an unprimeable number, because it can be changed into a prime (219072137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189757 + ... + 190907.

It is an arithmetic number, because the mean of its divisors is an integer number (8176896).

Almost surely, 2^219072132 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 219072132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256).

219072132 is an abundant number, since it is smaller than the sum of its proper divisors (369664380).

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

219072132 is a wasteful number, since it uses less digits than its factorization.

219072132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 219072132 is about 14801.0855007327. The cubic root of 219072132 is about 602.8311862943.

The spelling of 219072132 in words is "two hundred nineteen million, seventy-two thousand, one hundred thirty-two".