72414641 has 6 divisors (see below), whose sum is σ = 78413670. Its totient is φ = 66844128.

The previous prime is 72414637. The next prime is 72414647. The reversal of 72414641 is 14641427.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3591025 + 68823616 = 1895^2 + 8296^2 .

It is not a de Polignac number, because 72414641 - 2² = 72414637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72414647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214076 + ... + 214413.

It is an arithmetic number, because the mean of its divisors is an integer number (13068945).

Almost surely, 2^72414641 is an apocalyptic number.

It is an amenable number.

72414641 is a deficient number, since it is larger than the sum of its proper divisors (5999029).

72414641 is a wasteful number, since it uses less digits than its factorization.

72414641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428515 (or 428502 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 72414641 is about 8509.6792536499. The cubic root of 72414641 is about 416.8138365101.

The spelling of 72414641 in words is "seventy-two million, four hundred fourteen thousand, six hundred forty-one".