7832772 has 18 divisors (see below), whose sum is σ = 19799598. Its totient is φ = 2610912.

The previous prime is 7832749. The next prime is 7832777. The reversal of 7832772 is 2772387.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 1602756 = 2496^2 + 1266^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×7832772² = 122704634407968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 217577 = 7832772 / (7 + 8 + 3 + 2 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (7832777) 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 5 ways as a sum of consecutive naturals, for example, 108753 + ... + 108824.

Almost surely, 2^7832772 is an apocalyptic number.

It is an amenable number.

7832772 is an abundant number, since it is smaller than the sum of its proper divisors (11966826).

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

7832772 is a wasteful number, since it uses less digits than its factorization.

7832772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217587 (or 217582 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 7832772 is about 2798.7089880872. The cubic root of 7832772 is about 198.5966088327.

The spelling of 7832772 in words is "seven million, eight hundred thirty-two thousand, seven hundred seventy-two".