7261128 has 48 divisors (see below), whose sum is σ = 22476480. Its totient is φ = 2074464.

The previous prime is 7261087. The next prime is 7261153. The reversal of 7261128 is 8211627.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6700 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (468260).

Almost surely, 2^7261128 is an apocalyptic number.

It is an amenable number.

7261128 is an abundant number, since it is smaller than the sum of its proper divisors (15215352).

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

7261128 is a wasteful number, since it uses less digits than its factorization.

7261128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 14419 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 7261128 is about 2694.6480289641. The cubic root of 7261128 is about 193.6428046645.

The spelling of 7261128 in words is "seven million, two hundred sixty-one thousand, one hundred twenty-eight".