7072896 has 64 divisors (see below), whose sum is σ = 19069920. Its totient is φ = 2322432.

The previous prime is 7072873. The next prime is 7072909. The reversal of 7072896 is 6982707.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43311 + ... + 43473.

Almost surely, 2^7072896 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 7072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534960).

7072896 is an abundant number, since it is smaller than the sum of its proper divisors (11997024).

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

7072896 is a wasteful number, since it uses less digits than its factorization.

7072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7072896 is about 2659.4916807540. The cubic root of 7072896 is about 191.9548504949.

The spelling of 7072896 in words is "seven million, seventy-two thousand, eight hundred ninety-six".