672737137 has 2 divisors, whose sum is σ = 672737138. Its totient is φ = 672737136.

The previous prime is 672737113. The next prime is 672737147. The reversal of 672737137 is 731737276.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 523677456 + 149059681 = 22884^2 + 12209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-672737137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 672737093 and 672737102.

It is not a weakly prime, because it can be changed into another prime (672737147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 336368568 + 336368569.

It is an arithmetic number, because the mean of its divisors is an integer number (336368569).

Almost surely, 2^672737137 is an apocalyptic number.

It is an amenable number.

672737137 is a deficient number, since it is larger than the sum of its proper divisors (1).

672737137 is an equidigital number, since it uses as much as digits as its factorization.

672737137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259308, while the sum is 43.

The square root of 672737137 is about 25937.1767353349. The cubic root of 672737137 is about 876.2239793576.

The spelling of 672737137 in words is "six hundred seventy-two million, seven hundred thirty-seven thousand, one hundred thirty-seven".