219072096 has 72 divisors (see below), whose sum is σ = 625434264. Its totient is φ = 72737280.

The previous prime is 219072059. The next prime is 219072107. The reversal of 219072096 is 690270912.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 219072096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79575 + ... + 82281.

It is an arithmetic number, because the mean of its divisors is an integer number (8686587).

Almost surely, 2^219072096 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 219072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312717132).

219072096 is an abundant number, since it is smaller than the sum of its proper divisors (406362168).

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

219072096 is a wasteful number, since it uses less digits than its factorization.

219072096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 219072096 is about 14801.0842846056. The cubic root of 219072096 is about 602.8311532733.

The spelling of 219072096 in words is "two hundred nineteen million, seventy-two thousand, ninety-six".