8432772306 has 64 divisors (see below), whose sum is σ = 19739136000. Its totient is φ = 2400684048.

The previous prime is 8432772301. The next prime is 8432772329. The reversal of 8432772306 is 6032772348.

It is a super-2 number, since 2×8432772306² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8432772301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575175 + ... + 589653.

It is an arithmetic number, because the mean of its divisors is an integer number (308424000).

Almost surely, 2^8432772306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8432772306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869568000).

8432772306 is an abundant number, since it is smaller than the sum of its proper divisors (11306363694).

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

8432772306 is a wasteful number, since it uses less digits than its factorization.

8432772306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14788 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 8432772306 is about 91830.1274419240. The cubic root of 8432772306 is about 2035.4329062692.

Adding to 8432772306 its sum of digits (42), we get a palindrome (8432772348).

The spelling of 8432772306 in words is "eight billion, four hundred thirty-two million, seven hundred seventy-two thousand, three hundred six".