8319072 has 48 divisors (see below), whose sum is σ = 21999600. Its totient is φ = 2752512.

The previous prime is 8319071. The next prime is 8319083. The reversal of 8319072 is 2709138.

8319072 = 104² + 105² + ... + 296².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8319071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18304 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (458325).

Almost surely, 2^8319072 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 8319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999800).

8319072 is an abundant number, since it is smaller than the sum of its proper divisors (13680528).

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

8319072 is a wasteful number, since it uses less digits than its factorization.

8319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8319072 is about 2884.2801528284. The cubic root of 8319072 is about 202.6243467345.

The spelling of 8319072 in words is "eight million, three hundred nineteen thousand, seventy-two".