6072171360120 has 320 divisors, whose sum is σ = 21304263816000. Its totient is φ = 1548286451712.

The previous prime is 6072171360113. The next prime is 6072171360121. The reversal of 6072171360120 is 210631712706.

It is a happy number.

6072171360120 is a `hidden beast` number, since 6 + 0 + 7 + 2 + 17 + 13 + 601 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6072171360121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231669576 + ... + 231695784.

It is an arithmetic number, because the mean of its divisors is an integer number (66575824425).

Almost surely, 2^{6072171360120} is an apocalyptic number.

6072171360120 is a gapful number since it is divisible by the number (60) 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 6072171360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652131908000).

6072171360120 is an abundant number, since it is smaller than the sum of its proper divisors (15232092455880).

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

6072171360120 is a wasteful number, since it uses less digits than its factorization.

6072171360120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364 (or 29351 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 6072171360120 in words is "six trillion, seventy-two billion, one hundred seventy-one million, three hundred sixty thousand, one hundred twenty".