7120872 has 128 divisors (see below), whose sum is σ = 22435200. Its totient is φ = 2099520.

The previous prime is 7120871. The next prime is 7120873. The reversal of 7120872 is 2780217.

It is an interprime number because it is at equal distance from previous prime (7120871) and next prime (7120873).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7120871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192438 + ... + 192474.

It is an arithmetic number, because the mean of its divisors is an integer number (175275).

Almost surely, 2^7120872 is an apocalyptic number.

7120872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7120872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217600).

7120872 is an abundant number, since it is smaller than the sum of its proper divisors (15314328).

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

7120872 is a wasteful number, since it uses less digits than its factorization.

7120872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7120872 is about 2668.4962057309. The cubic root of 7120872 is about 192.3878877177.

The spelling of 7120872 in words is "seven million, one hundred twenty thousand, eight hundred seventy-two".