72011466 has 72 divisors (see below), whose sum is σ = 166312224. Its totient is φ = 22508640.

The previous prime is 72011453. The next prime is 72011479. The reversal of 72011466 is 66411027.

It is an interprime number because it is at equal distance from previous prime (72011453) and next prime (72011479).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1014211 + ... + 1014281.

It is an arithmetic number, because the mean of its divisors is an integer number (2309892).

Almost surely, 2^72011466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72011466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83156112).

72011466 is an abundant number, since it is smaller than the sum of its proper divisors (94300758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72011466 is a wasteful number, since it uses less digits than its factorization.

72011466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72011466 is about 8485.9569878712. The cubic root of 72011466 is about 416.0388469948.

The spelling of 72011466 in words is "seventy-two million, eleven thousand, four hundred sixty-six".