219115872 has 72 divisors (see below), whose sum is σ = 624648024. Its totient is φ = 72858624.

The previous prime is 219115867. The next prime is 219115879. The reversal of 219115872 is 278511912.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219115879) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 170143 + ... + 171425.

It is an arithmetic number, because the mean of its divisors is an integer number (8675667).

Almost surely, 2^219115872 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 219115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312324012).

219115872 is an abundant number, since it is smaller than the sum of its proper divisors (405532152).

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

219115872 is a wasteful number, since it uses less digits than its factorization.

219115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1881 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 219115872 is about 14802.5630213149. The cubic root of 219115872 is about 602.8713041026.

The spelling of 219115872 in words is "two hundred nineteen million, one hundred fifteen thousand, eight hundred seventy-two".