72072541 has 2 divisors, whose sum is σ = 72072542. Its totient is φ = 72072540.

The previous prime is 72072509. The next prime is 72072563. The reversal of 72072541 is 14527027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48511225 + 23561316 = 6965^2 + 4854^2 .

It is a cyclic number.

It is not a de Polignac number, because 72072541 - 2⁵ = 72072509 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72072841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036270 + 36036271.

It is an arithmetic number, because the mean of its divisors is an integer number (36036271).

Almost surely, 2^72072541 is an apocalyptic number.

It is an amenable number.

72072541 is a deficient number, since it is larger than the sum of its proper divisors (1).

72072541 is an equidigital number, since it uses as much as digits as its factorization.

72072541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 72072541 is about 8489.5548175390. The cubic root of 72072541 is about 416.1564319381.

Adding to 72072541 its reverse (14527027), we get a palindrome (86599568).

The spelling of 72072541 in words is "seventy-two million, seventy-two thousand, five hundred forty-one".