72012128112016 has 45 divisors (see below), whose sum is σ = 140346098921569. Its totient is φ = 35795017335488.

The previous prime is 72012128111971. The next prime is 72012128112019. The reversal of 72012128112016 is 61021182121027.

The square root of 72012128112016 is 8485996.

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

It can be written as a sum of positive squares in only one way, i.e., 65506037216400 + 6506090895616 = 8093580^2 + 2550704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72012128112019) 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, 5872303101 + ... + 5872315363.

Almost surely, 2^{72012128112016} is an apocalyptic number.

72012128112016 is the 8485996-th square number.

It is an amenable number.

72012128112016 is a deficient number, since it is larger than the sum of its proper divisors (68333970809553).

72012128112016 is an frugal number, since it uses more digits than its factorization.

72012128112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24880 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 72012128112016 in words is "seventy-two trillion, twelve billion, one hundred twenty-eight million, one hundred twelve thousand, sixteen".