8199072 has 144 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 2314368.

The previous prime is 8199029. The next prime is 8199077. The reversal of 8199072 is 2709918.

It is a happy number.

8199072 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8199072² = 134449563322368, which contains 22 as substring.

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

8199072 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (8199077) 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, 98743 + ... + 98825.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 2^8199072 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 8199072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

8199072 is an abundant number, since it is smaller than the sum of its proper divisors (19319328).

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

8199072 is a wasteful number, since it uses less digits than its factorization.

8199072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8199072 is about 2863.4021722420. The cubic root of 8199072 is about 201.6453601635.

The spelling of 8199072 in words is "eight million, one hundred ninety-nine thousand, seventy-two".