7152966 has 48 divisors (see below), whose sum is σ = 16342560. Its totient is φ = 2257920.

The previous prime is 7152961. The next prime is 7152967. The reversal of 7152966 is 6692517.

7152966 is a `hidden beast` number, since 71 + 529 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7152966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36966 + ... + 37158.

It is an arithmetic number, because the mean of its divisors is an integer number (340470).

Almost surely, 2^7152966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7152966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171280).

7152966 is an abundant number, since it is smaller than the sum of its proper divisors (9189594).

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

7152966 is a wasteful number, since it uses less digits than its factorization.

7152966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7152966 is about 2674.5029444740. The cubic root of 7152966 is about 192.6764873820.

It can be divided in two parts, 7152 and 966, that added together give a palindrome (8118).

The spelling of 7152966 in words is "seven million, one hundred fifty-two thousand, nine hundred sixty-six".