7123872 has 48 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 2035200.

The previous prime is 7123861. The next prime is 7123877. The reversal of 7123872 is 2783217.

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

It is a super-3 number, since 3×7123872³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7123877) by changing a digit.

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, 4629 + ... + 5972.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^7123872 is an apocalyptic number.

It is an amenable number.

7123872 is an abundant number, since it is smaller than the sum of its proper divisors (14249760).

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

7123872 is a wasteful number, since it uses less digits than its factorization.

7123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10613 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 7123872 is about 2669.0582608853. The cubic root of 7123872 is about 192.4149013863.

The spelling of 7123872 in words is "seven million, one hundred twenty-three thousand, eight hundred seventy-two".