72042545132944 has 45 divisors (see below), whose sum is σ = 139867907808513. Its totient is φ = 35947751346816.

The previous prime is 72042545132933. The next prime is 72042545132947. The reversal of 72042545132944 is 44923154524027.

The square root of 72042545132944 is 8487788.

It is a perfect power (a square), and thus also a powerful number.

72042545132944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59700532998544 + 12342012134400 = 7726612^2 + 3513120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72042545132891 and 72042545132900.

It is not an unprimeable number, because it can be changed into a prime (72042545132947) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19114496692 + ... + 19114500460.

Almost surely, 2^{72042545132944} is an apocalyptic number.

72042545132944 is the 8487788-th square number.

It is an amenable number.

72042545132944 is a deficient number, since it is larger than the sum of its proper divisors (67825362675569).

72042545132944 is an frugal number, since it uses more digits than its factorization.

72042545132944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 72042545132944 in words is "seventy-two trillion, forty-two billion, five hundred forty-five million, one hundred thirty-two thousand, nine hundred forty-four".