7481672 has 48 divisors (see below), whose sum is σ = 15800400. Its totient is φ = 3317600.

The previous prime is 7481653. The next prime is 7481701. The reversal of 7481672 is 2761847.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57047 + ... + 57177.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

Almost surely, 2^7481672 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 7481672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900200).

7481672 is an abundant number, since it is smaller than the sum of its proper divisors (8318728).

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

7481672 is a wasteful number, since it uses less digits than its factorization.

7481672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 7481672 is about 2735.2645210290. The cubic root of 7481672 is about 195.5838037897.

The spelling of 7481672 in words is "seven million, four hundred eighty-one thousand, six hundred seventy-two".