672792017121 has 81 divisors (see below), whose sum is σ = 1142731685043. Its totient is φ = 380328419520.

The previous prime is 672792017101. The next prime is 672792017129. The reversal of 672792017121 is 121710297276.

The square root of 672792017121 is 820239.

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

672792017121 is digitally balanced in base 2, 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., 454665655521 + 218126361600 = 674289^2 + 467040^2 .

It is not a de Polignac number, because 672792017121 - 2¹³ = 672792008929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (672792017129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2394277501 + ... + 2394277781.

Almost surely, 2^672792017121 is an apocalyptic number.

672792017121 is the 820239-th square number.

672792017121 is the 410120-th centered octagonal number.

It is an amenable number.

672792017121 is a deficient number, since it is larger than the sum of its proper divisors (469939667922).

672792017121 is an equidigital number, since it uses as much as digits as its factorization.

672792017121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 672792017121 in words is "six hundred seventy-two billion, seven hundred ninety-two million, seventeen thousand, one hundred twenty-one".