72441301 has 24 divisors (see below), whose sum is σ = 82248264. Its totient is φ = 63498240.

The previous prime is 72441289. The next prime is 72441307. The reversal of 72441301 is 10314427.

It can be written as a sum of positive squares in 12 ways, for example, as 361201 + 72080100 = 601^2 + 8490^2 .

It is not a de Polignac number, because 72441301 - 2⁹ = 72440789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72441307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366791 + ... + 1366843.

It is an arithmetic number, because the mean of its divisors is an integer number (3427011).

Almost surely, 2^72441301 is an apocalyptic number.

It is an amenable number.

72441301 is a deficient number, since it is larger than the sum of its proper divisors (9806963).

72441301 is a wasteful number, since it uses less digits than its factorization.

72441301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72441301 is about 8511.2455610210. The cubic root of 72441301 is about 416.8649812939.

Adding to 72441301 its reverse (10314427), we get a palindrome (82755728).

It can be divided in two parts, 724 and 41301, that added together give a square (42025 = 205²).

The spelling of 72441301 in words is "seventy-two million, four hundred forty-one thousand, three hundred one".