7381920 has 192 divisors, whose sum is σ = 28788480. Its totient is φ = 1557504.

The previous prime is 7381909. The next prime is 7381931. The reversal of 7381920 is 291837.

It is a happy number.

7381920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7381909) and next prime (7381931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567834 + ... + 567846.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 2^7381920 is an apocalyptic number.

7381920 is a gapful number since it is divisible by the number (70) 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 7381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

7381920 is an abundant number, since it is smaller than the sum of its proper divisors (21406560).

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

7381920 is a wasteful number, since it uses less digits than its factorization.

7381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7381920 is about 2716.9688993435. The cubic root of 7381920 is about 194.7106820677.

The spelling of 7381920 in words is "seven million, three hundred eighty-one thousand, nine hundred twenty".