72466427 has 16 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 61632000.

The previous prime is 72466403. The next prime is 72466451.

72466427 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72466403) and next prime (72466451).

It is a cyclic number.

It is not a de Polignac number, because 72466427 - 2¹⁴ = 72450043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72466487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32777 + ... + 34917.

It is an arithmetic number, because the mean of its divisors is an integer number (5262894).

Almost surely, 2^72466427 is an apocalyptic number.

72466427 is a deficient number, since it is larger than the sum of its proper divisors (11739877).

72466427 is a wasteful number, since it uses less digits than its factorization.

72466427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350.

The product of its digits is 112896, while the sum is 38.

The square root of 72466427 is about 8512.7214802318. The cubic root of 72466427 is about 416.9131717536.

The spelling of 72466427 in words is "seventy-two million, four hundred sixty-six thousand, four hundred twenty-seven".