8219772 has 144 divisors (see below), whose sum is σ = 25472160. Its totient is φ = 2280960.

The previous prime is 8219747. The next prime is 8219777. The reversal of 8219772 is 2779128.

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 (8219777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222138 + ... + 222174.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 2^8219772 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 8219772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080).

8219772 is an abundant number, since it is smaller than the sum of its proper divisors (17252388).

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

8219772 is a wasteful number, since it uses less digits than its factorization.

8219772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 8219772 is about 2867.0144750245. The cubic root of 8219772 is about 201.8149139520.

The spelling of 8219772 in words is "eight million, two hundred nineteen thousand, seven hundred seventy-two".