8272031040 has 1008 divisors, whose sum is σ = 37185063552. Its totient is φ = 1734856704.

The previous prime is 8272031039. The next prime is 8272031057. The reversal of 8272031040 is 401302728.

8272031040 = 22³ + 23³ + ... + 426³.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 8272030995 and 8272031013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49533037 + ... + 49533203.

It is an arithmetic number, because the mean of its divisors is an integer number (36889944).

Almost surely, 2^8272031040 is an apocalyptic number.

8272031040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592531776).

8272031040 is an abundant number, since it is smaller than the sum of its proper divisors (28913032512).

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

8272031040 is a wasteful number, since it uses less digits than its factorization.

8272031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

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

The square root of 8272031040 is about 90950.7066492614. The cubic root of 8272031040 is about 2022.4170524536.

Adding to 8272031040 its reverse (401302728), we get a palindrome (8673333768).

The spelling of 8272031040 in words is "eight billion, two hundred seventy-two million, thirty-one thousand, forty".