72827130270140 has 96 divisors (see below), whose sum is σ = 162915902432640. Its totient is φ = 27250926485504.

The previous prime is 72827130270121. The next prime is 72827130270143. The reversal of 72827130270140 is 4107203172827.

72827130270140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 72827130270091 and 72827130270100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72827130270143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832180706 + ... + 832268214.

It is an arithmetic number, because the mean of its divisors is an integer number (1697040650340).

Almost surely, 2^{72827130270140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72827130270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81457951216320).

72827130270140 is an abundant number, since it is smaller than the sum of its proper divisors (90088772162500).

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

72827130270140 is a wasteful number, since it uses less digits than its factorization.

72827130270140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102359 (or 102357 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 72827130270140 in words is "seventy-two trillion, eight hundred twenty-seven billion, one hundred thirty million, two hundred seventy thousand, one hundred forty".