72411041 has 16 divisors (see below), whose sum is σ = 78191568. Its totient is φ = 66816000.

The previous prime is 72411029. The next prime is 72411047. The reversal of 72411041 is 14011427.

72411041 = T₃₀₈ + T₃₀₉ + ... + T₇₇₃.

It can be written as a sum of positive squares in 8 ways, for example, as 246016 + 72165025 = 496^2 + 8495^2 .

It is a cyclic number.

It is not a de Polignac number, because 72411041 - 2²⁶ = 5302177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72411047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310661 + ... + 310893.

It is an arithmetic number, because the mean of its divisors is an integer number (4886973).

Almost surely, 2^72411041 is an apocalyptic number.

It is an amenable number.

72411041 is a deficient number, since it is larger than the sum of its proper divisors (5780527).

72411041 is a wasteful number, since it uses less digits than its factorization.

72411041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 72411041 is about 8509.4677271848. The cubic root of 72411041 is about 416.8069292758.

Adding to 72411041 its reverse (14011427), we get a palindrome (86422468).

The spelling of 72411041 in words is "seventy-two million, four hundred eleven thousand, forty-one".