6872725388592 has 180 divisors, whose sum is σ = 22435318485216. Its totient is φ = 1958284581120.

The previous prime is 6872725388591. The next prime is 6872725388593. The reversal of 6872725388592 is 2958835272786.

It is a happy number.

6872725388592 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 7 + 2 + 538 + 85 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6872725388591) and next prime (6872725388593).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6872725388592.

It is not an unprimeable number, because it can be changed into a prime (6872725388591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1262542 + ... + 3916562.

Almost surely, 2^{6872725388592} 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 6872725388592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217659242608).

6872725388592 is an abundant number, since it is smaller than the sum of its proper divisors (15562593096624).

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

6872725388592 is a wasteful number, since it uses less digits than its factorization.

6872725388592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654416 (or 2654400 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 6872725388592 in words is "six trillion, eight hundred seventy-two billion, seven hundred twenty-five million, three hundred eighty-eight thousand, five hundred ninety-two".