72120555050020 has 48 divisors (see below), whose sum is σ = 156727078326000. Its totient is φ = 27844319784960.

The previous prime is 72120555049981. The next prime is 72120555050021. The reversal of 72120555050020 is 2005055502127.

It can be written as a sum of positive squares in 8 ways, for example, as 4416226596324 + 67704328453696 = 2101482^2 + 8228264^2 .

It is not an unprimeable number, because it can be changed into a prime (72120555050021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18622821 + ... + 22159660.

It is an arithmetic number, because the mean of its divisors is an integer number (3265147465125).

Almost surely, 2^{72120555050020} is an apocalyptic number.

It is an amenable number.

72120555050020 is an abundant number, since it is smaller than the sum of its proper divisors (84606523275980).

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

72120555050020 is a wasteful number, since it uses less digits than its factorization.

72120555050020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40785568 (or 40785566 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 34.

The spelling of 72120555050020 in words is "seventy-two trillion, one hundred twenty billion, five hundred fifty-five million, fifty thousand, twenty".