7481376 has 96 divisors (see below), whose sum is σ = 24958080. Its totient is φ = 2135808.

The previous prime is 7481359. The next prime is 7481381. The reversal of 7481376 is 6731847.

It is a tau number, because it is divible by the number of its divisors (96).

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 nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 7481376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430 + ... + 6666.

It is an arithmetic number, because the mean of its divisors is an integer number (259980).

Almost surely, 2^7481376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479040).

7481376 is an abundant number, since it is smaller than the sum of its proper divisors (17476704).

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

7481376 is a wasteful number, since it uses less digits than its factorization.

7481376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7481376 is about 2735.2104123815. The cubic root of 7481376 is about 195.5812244389.

The spelling of 7481376 in words is "seven million, four hundred eighty-one thousand, three hundred seventy-six".