7723872 has 72 divisors (see below), whose sum is σ = 23665824. Its totient is φ = 2375424.

The previous prime is 7723871. The next prime is 7723907. The reversal of 7723872 is 2783277.

It is a tau number, because it is divible by the number of its divisors (72).

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 (7723871) 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 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 2^7723872 is an apocalyptic number.

7723872 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 7723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832912).

7723872 is an abundant number, since it is smaller than the sum of its proper divisors (15941952).

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

7723872 is a wasteful number, since it uses less digits than its factorization.

7723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 7723872 is about 2779.1854921901. The cubic root of 7723872 is about 197.6719391448.

The spelling of 7723872 in words is "seven million, seven hundred twenty-three thousand, eight hundred seventy-two".