72444427 has 8 divisors (see below), whose sum is σ = 81580032. Its totient is φ = 63733800.

The previous prime is 72444419. The next prime is 72444451.

72444427 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72444427 - 2³ = 72444419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72444392 and 72444401.

It is not an unprimeable number, because it can be changed into a prime (72444467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105883 + ... + 106564.

It is an arithmetic number, because the mean of its divisors is an integer number (10197504).

Almost surely, 2^72444427 is an apocalyptic number.

72444427 is a deficient number, since it is larger than the sum of its proper divisors (9135605).

72444427 is a wasteful number, since it uses less digits than its factorization.

72444427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212489.

The product of its digits is 50176, while the sum is 34.

The square root of 72444427 is about 8511.4291984367. The cubic root of 72444427 is about 416.8709774185.

The spelling of 72444427 in words is "seventy-two million, four hundred forty-four thousand, four hundred twenty-seven".