5432772345 has 288 divisors, whose sum is σ = 12389658624. Its totient is φ = 2011806720.

The previous prime is 5432772343. The next prime is 5432772361.

5432772345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5432772345 - 2¹ = 5432772343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5432772297 and 5432772306.

It is not an unprimeable number, because it can be changed into a prime (5432772343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42777672 + ... + 42777798.

It is an arithmetic number, because the mean of its divisors is an integer number (43019648).

Almost surely, 2^5432772345 is an apocalyptic number.

5432772345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5432772345 is an abundant number, since it is smaller than the sum of its proper divisors (6956886279).

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

5432772345 is a wasteful number, since it uses less digits than its factorization.

5432772345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its digits is 705600, while the sum is 42.

The square root of 5432772345 is about 73707.3425446882. The cubic root of 5432772345 is about 1757.9526322883.

It can be divided in two parts, 5432 and 772345, that added together give a palindrome (777777).

The spelling of 5432772345 in words is "five billion, four hundred thirty-two million, seven hundred seventy-two thousand, three hundred forty-five".