72782641 has 2 divisors, whose sum is σ = 72782642. Its totient is φ = 72782640.

The previous prime is 72782629. The next prime is 72782669. The reversal of 72782641 is 14628727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 600625 = 8496^2 + 775^2 .

It is a cyclic number.

It is not a de Polignac number, because 72782641 - 2¹¹ = 72780593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72782641.

It is not a weakly prime, because it can be changed into another prime (72782681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36391320 + 36391321.

It is an arithmetic number, because the mean of its divisors is an integer number (36391321).

Almost surely, 2^72782641 is an apocalyptic number.

It is an amenable number.

72782641 is a deficient number, since it is larger than the sum of its proper divisors (1).

72782641 is an equidigital number, since it uses as much as digits as its factorization.

72782641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37632, while the sum is 37.

The square root of 72782641 is about 8531.2742893427. The cubic root of 72782641 is about 417.5187049838.

The spelling of 72782641 in words is "seventy-two million, seven hundred eighty-two thousand, six hundred forty-one".