72110461 has 4 divisors (see below), whose sum is σ = 72139932. Its totient is φ = 72080992.

The previous prime is 72110459. The next prime is 72110477. The reversal of 72110461 is 16401127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16401127 = 281 ⋅58367.

It can be written as a sum of positive squares in 2 ways, for example, as 19272100 + 52838361 = 4390^2 + 7269^2 .

It is a cyclic number.

It is not a de Polignac number, because 72110461 - 2¹ = 72110459 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 (72110411) 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 3 ways as a sum of consecutive naturals, for example, 10696 + ... + 16081.

It is an arithmetic number, because the mean of its divisors is an integer number (18034983).

Almost surely, 2^72110461 is an apocalyptic number.

It is an amenable number.

72110461 is a deficient number, since it is larger than the sum of its proper divisors (29471).

72110461 is a wasteful number, since it uses less digits than its factorization.

72110461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29470.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 72110461 is about 8491.7878565117. The cubic root of 72110461 is about 416.2294041819.

Adding to 72110461 its reverse (16401127), we get a palindrome (88511588).

The spelling of 72110461 in words is "seventy-two million, one hundred ten thousand, four hundred sixty-one".