7292960 has 48 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 2762496.

The previous prime is 7292933. The next prime is 7292969. The reversal of 7292960 is 692927.

It is a self number, because there is not a number n which added to its sum of digits gives 7292960.

It is not an unprimeable number, because it can be changed into a prime (7292969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 4239.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^7292960 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 7292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

7292960 is an abundant number, since it is smaller than the sum of its proper divisors (10851040).

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

7292960 is a wasteful number, since it uses less digits than its factorization.

7292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 7292960 is about 2700.5480925175. The cubic root of 7292960 is about 193.9253618714.

The spelling of 7292960 in words is "seven million, two hundred ninety-two thousand, nine hundred sixty".