672202146372601 has 20 divisors (see below), whose sum is σ = 729095484542900. Its totient is φ = 619745781859776.

The previous prime is 672202146372551. The next prime is 672202146372607. The reversal of 672202146372601 is 106273641202276.

It can be written as a sum of positive squares in 10 ways, for example, as 650474419360000 + 21727727012601 = 25504400^2 + 4661301^2 .

It is not a de Polignac number, because 672202146372601 - 2¹³ = 672202146364409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672202146372607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9481855 + ... + 37872283.

It is an arithmetic number, because the mean of its divisors is an integer number (36454774227145).

Almost surely, 2^{672202146372601} is an apocalyptic number.

It is an amenable number.

672202146372601 is a deficient number, since it is larger than the sum of its proper divisors (56893338170299).

672202146372601 is an frugal number, since it uses more digits than its factorization.

672202146372601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28391310 (or 28391271 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Adding to 672202146372601 its reverse (106273641202276), we get a palindrome (778475787574877).

The spelling of 672202146372601 in words is "six hundred seventy-two trillion, two hundred two billion, one hundred forty-six million, three hundred seventy-two thousand, six hundred one".