393720128272 has 20 divisors (see below), whose sum is σ = 765436282380. Its totient is φ = 196188184448.

The previous prime is 393720128261. The next prime is 393720128273. The reversal of 393720128272 is 272821027393.

It can be written as a sum of positive squares in 2 ways, for example, as 352950057216 + 40770071056 = 594096^2 + 201916^2 .

It is a super-3 number, since 3×393720128272³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (393720128273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41987647 + ... + 41997022.

It is an arithmetic number, because the mean of its divisors is an integer number (38271814119).

Almost surely, 2^393720128272 is an apocalyptic number.

It is an amenable number.

393720128272 is a deficient number, since it is larger than the sum of its proper divisors (371716154108).

393720128272 is a wasteful number, since it uses less digits than its factorization.

393720128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83984970 (or 83984964 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 393720128272 in words is "three hundred ninety-three billion, seven hundred twenty million, one hundred twenty-eight thousand, two hundred seventy-two".