72072631 has 2 divisors, whose sum is σ = 72072632. Its totient is φ = 72072630.

The previous prime is 72072607. The next prime is 72072683. The reversal of 72072631 is 13627027.

It is a weak prime.

It is an emirp because it is prime and its reverse (13627027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72072631 - 2¹³ = 72064439 is a prime.

It is a super-2 number, since 2×72072631² = 10388928278524322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72072631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72072031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036315 + 36036316.

It is an arithmetic number, because the mean of its divisors is an integer number (36036316).

Almost surely, 2^72072631 is an apocalyptic number.

72072631 is a deficient number, since it is larger than the sum of its proper divisors (1).

72072631 is an equidigital number, since it uses as much as digits as its factorization.

72072631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 72072631 is about 8489.5601181687. The cubic root of 72072631 is about 416.1566051620.

Adding to 72072631 its reverse (13627027), we get a palindrome (85699658).

The spelling of 72072631 in words is "seventy-two million, seventy-two thousand, six hundred thirty-one".