72681031 has 2 divisors, whose sum is σ = 72681032. Its totient is φ = 72681030.

The previous prime is 72681017. The next prime is 72681041. The reversal of 72681031 is 13018627.

It is a strong prime.

It is an emirp because it is prime and its reverse (13018627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72681031 - 2⁵ = 72680999 is a prime.

It is a super-2 number, since 2×72681031² = 10565064534445922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72681041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36340515 + 36340516.

It is an arithmetic number, because the mean of its divisors is an integer number (36340516).

Almost surely, 2^72681031 is an apocalyptic number.

72681031 is a deficient number, since it is larger than the sum of its proper divisors (1).

72681031 is an equidigital number, since it uses as much as digits as its factorization.

72681031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 72681031 is about 8525.3170615526. The cubic root of 72681031 is about 417.3243187367.

Adding to 72681031 its reverse (13018627), we get a palindrome (85699658).

The spelling of 72681031 in words is "seventy-two million, six hundred eighty-one thousand, thirty-one".