72048961 has 2 divisors, whose sum is σ = 72048962. Its totient is φ = 72048960.

The previous prime is 72048947. The next prime is 72048973. The reversal of 72048961 is 16984027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43362225 + 28686736 = 6585^2 + 5356^2 .

It is a cyclic number.

It is not a de Polignac number, because 72048961 - 2¹¹ = 72046913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72048961.

It is not a weakly prime, because it can be changed into another prime (72048161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36024480 + 36024481.

It is an arithmetic number, because the mean of its divisors is an integer number (36024481).

Almost surely, 2^72048961 is an apocalyptic number.

It is an amenable number.

72048961 is a deficient number, since it is larger than the sum of its proper divisors (1).

72048961 is an equidigital number, since it uses as much as digits as its factorization.

72048961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 72048961 is about 8488.1659385288. The cubic root of 72048961 is about 416.1110423029. Note that the first 3 decimals are identical.

The spelling of 72048961 in words is "seventy-two million, forty-eight thousand, nine hundred sixty-one".