71466444 has 72 divisors (see below), whose sum is σ = 211524768. Its totient is φ = 19918080.

The previous prime is 71466413. The next prime is 71466457. The reversal of 71466444 is 44466417.

71466444 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71466399 and 71466408.

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 23 ways as a sum of consecutive naturals, for example, 6874 + ... + 13790.

It is an arithmetic number, because the mean of its divisors is an integer number (2937844).

Almost surely, 2^71466444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71466444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105762384).

71466444 is an abundant number, since it is smaller than the sum of its proper divisors (140058324).

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

71466444 is a wasteful number, since it uses less digits than its factorization.

71466444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6970 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 71466444 is about 8453.7828219088. The cubic root of 71466444 is about 414.9865849440.

The spelling of 71466444 in words is "seventy-one million, four hundred sixty-six thousand, four hundred forty-four".