72401041 has 2 divisors, whose sum is σ = 72401042. Its totient is φ = 72401040.

The previous prime is 72401029. The next prime is 72401047. The reversal of 72401041 is 14010427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37638225 + 34762816 = 6135^2 + 5896^2 .

It is a cyclic number.

It is not a de Polignac number, because 72401041 - 2¹⁷ = 72269969 is a prime.

It is not a weakly prime, because it can be changed into another prime (72401047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36200520 + 36200521.

It is an arithmetic number, because the mean of its divisors is an integer number (36200521).

Almost surely, 2^72401041 is an apocalyptic number.

It is an amenable number.

72401041 is a deficient number, since it is larger than the sum of its proper divisors (1).

72401041 is an equidigital number, since it uses as much as digits as its factorization.

72401041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72401041 is about 8508.8801260800. The cubic root of 72401041 is about 416.7877413126.

Adding to 72401041 its reverse (14010427), we get a palindrome (86411468).

It can be divided in two parts, 7240 and 1041, that added together give a square (8281 = 91²).

The spelling of 72401041 in words is "seventy-two million, four hundred one thousand, forty-one".