72106631 has 2 divisors, whose sum is σ = 72106632. Its totient is φ = 72106630.

The previous prime is 72106609. The next prime is 72106693. The reversal of 72106631 is 13660127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72106631 - 2¹⁴ = 72090247 is a prime.

It is a super-2 number, since 2×72106631² = 10398732468340322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72106631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72100631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36053315 + 36053316.

It is an arithmetic number, because the mean of its divisors is an integer number (36053316).

Almost surely, 2^72106631 is an apocalyptic number.

72106631 is a deficient number, since it is larger than the sum of its proper divisors (1).

72106631 is an equidigital number, since it uses as much as digits as its factorization.

72106631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 72106631 is about 8491.5623415247. The cubic root of 72106631 is about 416.2220349930. Note that the first 3 decimals are identical.

Adding to 72106631 its reverse (13660127), we get a palindrome (85766758).

The spelling of 72106631 in words is "seventy-two million, one hundred six thousand, six hundred thirty-one".