7572906 has 96 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 2138400.

The previous prime is 7572899. The next prime is 7572907. The reversal of 7572906 is 6092757.

It is not an unprimeable number, because it can be changed into a prime (7572907) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 124116 + ... + 124176.

It is an arithmetic number, because the mean of its divisors is an integer number (206150).

Almost surely, 2^7572906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7572906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

7572906 is an abundant number, since it is smaller than the sum of its proper divisors (12217494).

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

7572906 is a wasteful number, since it uses less digits than its factorization.

7572906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7572906 is about 2751.8913495994. The cubic root of 7572906 is about 196.3755986680.

It can be divided in two parts, 757 and 2906, that added together give a palindrome (3663).

The spelling of 7572906 in words is "seven million, five hundred seventy-two thousand, nine hundred six".