72027684612120 has 256 divisors, whose sum is σ = 223065114624000. Its totient is φ = 18595379658240.

The previous prime is 72027684612113. The next prime is 72027684612173. The reversal of 72027684612120 is 2121648672027.

It is a self number, because there is not a number n which added to its sum of digits gives 72027684612120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269925565 + ... + 270192275.

It is an arithmetic number, because the mean of its divisors is an integer number (871348104000).

Almost surely, 2^{72027684612120} 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 72027684612120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111532557312000).

72027684612120 is an abundant number, since it is smaller than the sum of its proper divisors (151037430011880).

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

72027684612120 is a wasteful number, since it uses less digits than its factorization.

72027684612120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267230 (or 267226 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 72027684612120 in words is "seventy-two trillion, twenty-seven billion, six hundred eighty-four million, six hundred twelve thousand, one hundred twenty".