8919072 has 144 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 2799360.

The previous prime is 8919061. The next prime is 8919073. The reversal of 8919072 is 2709198.

It is a happy number.

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

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 (8919073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241038 + ... + 241074.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 2^8919072 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 8919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

8919072 is an abundant number, since it is smaller than the sum of its proper divisors (18966240).

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

8919072 is a wasteful number, since it uses less digits than its factorization.

8919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

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

The square root of 8919072 is about 2986.4815418817. The cubic root of 8919072 is about 207.3830337067.

Adding to 8919072 its product of nonzero digits (9072), we get a square (8928144 = 2988²).

The spelling of 8919072 in words is "eight million, nine hundred nineteen thousand, seventy-two".