8272014030 has 224 divisors, whose sum is σ = 25688263104. Its totient is φ = 1877810688.

The previous prime is 8272014019. The next prime is 8272014031. The reversal of 8272014030 is 304102728.

It is a super-2 number, since 2×8272014030² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8272013985 and 8272014003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272014031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8827722 + ... + 8828658.

It is an arithmetic number, because the mean of its divisors is an integer number (114679746).

Almost surely, 2^8272014030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844131552).

8272014030 is an abundant number, since it is smaller than the sum of its proper divisors (17416249074).

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

8272014030 is a wasteful number, since it uses less digits than its factorization.

8272014030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8272014030 is about 90950.6131370207. The cubic root of 8272014030 is about 2022.4156662025.

Adding to 8272014030 its reverse (304102728), we get a palindrome (8576116758).

The spelling of 8272014030 in words is "eight billion, two hundred seventy-two million, fourteen thousand, thirty".