72461216427 has 8 divisors (see below), whose sum is σ = 101699952960. Its totient is φ = 45764978760.

The previous prime is 72461216371. The next prime is 72461216437.

72461216427 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 72461216427 - 2¹⁰ = 72461215403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72461216437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635624649 + ... + 635624762.

It is an arithmetic number, because the mean of its divisors is an integer number (12712494120).

Almost surely, 2^72461216427 is an apocalyptic number.

72461216427 is a deficient number, since it is larger than the sum of its proper divisors (29238736533).

72461216427 is a wasteful number, since it uses less digits than its factorization.

72461216427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271249433.

The product of its digits is 225792, while the sum is 42.

The spelling of 72461216427 in words is "seventy-two billion, four hundred sixty-one million, two hundred sixteen thousand, four hundred twenty-seven".