7472960 has 84 divisors (see below), whose sum is σ = 19661124. Its totient is φ = 2703360.

The previous prime is 7472951. The next prime is 7472989. The reversal of 7472960 is 692747.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 5234944 = 1496^2 + 2288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7472960.

It is a congruent 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, 38624 + ... + 38816.

It is an arithmetic number, because the mean of its divisors is an integer number (234061).

Almost surely, 2^7472960 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 7472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830562).

7472960 is an abundant number, since it is smaller than the sum of its proper divisors (12188164).

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

7472960 is a wasteful number, since it uses less digits than its factorization.

7472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 7472960 is about 2733.6715237936. The cubic root of 7472960 is about 195.5078587379.

The spelling of 7472960 in words is "seven million, four hundred seventy-two thousand, nine hundred sixty".