72071712 has 72 divisors (see below), whose sum is σ = 215757360. Its totient is φ = 22757760.

The previous prime is 72071711. The next prime is 72071729. The reversal of 72071712 is 21717027.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×72071712² = 10388663341221888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72071711) 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 11 ways as a sum of consecutive naturals, for example, 1114 + ... + 12057.

It is an arithmetic number, because the mean of its divisors is an integer number (2996630).

Almost surely, 2^72071712 is an apocalyptic number.

72071712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107878680).

72071712 is an abundant number, since it is smaller than the sum of its proper divisors (143685648).

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

72071712 is a wasteful number, since it uses less digits than its factorization.

72071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13206 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72071712 is about 8489.5059926947. The cubic root of 72071712 is about 416.1548363466.

Adding to 72071712 its reverse (21717027), we get a palindrome (93788739).

The spelling of 72071712 in words is "seventy-two million, seventy-one thousand, seven hundred twelve".