60072725868672 has 384 divisors, whose sum is σ = 183067743600000. Its totient is φ = 17407738839040.

The previous prime is 60072725868671. The next prime is 60072725868703. The reversal of 60072725868672 is 27686852727006.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×60072725868672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (60072725868671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7853666704 + ... + 7853674352.

It is an arithmetic number, because the mean of its divisors is an integer number (476738915625).

Almost surely, 2^{60072725868672} 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 60072725868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91533871800000).

60072725868672 is an abundant number, since it is smaller than the sum of its proper divisors (122995017731328).

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

60072725868672 is a wasteful number, since it uses less digits than its factorization.

60072725868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060 (or 15037 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 66.

The spelling of 60072725868672 in words is "sixty trillion, seventy-two billion, seven hundred twenty-five million, eight hundred sixty-eight thousand, six hundred seventy-two".