7921872 has 120 divisors (see below), whose sum is σ = 26307840. Its totient is φ = 2177280.

The previous prime is 7921861. The next prime is 7921873. The reversal of 7921872 is 2781297.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7921873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29097 + ... + 29367.

It is an arithmetic number, because the mean of its divisors is an integer number (219232).

Almost surely, 2^7921872 is an apocalyptic number.

7921872 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 7921872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153920).

7921872 is an abundant number, since it is smaller than the sum of its proper divisors (18385968).

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

7921872 is a wasteful number, since it uses less digits than its factorization.

7921872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7921872 is about 2814.5820293607. The cubic root of 7921872 is about 199.3468023198.

The spelling of 7921872 in words is "seven million, nine hundred twenty-one thousand, eight hundred seventy-two".