72006912 has 54 divisors (see below), whose sum is σ = 207620322. Its totient is φ = 24001536.

The previous prime is 72006911. The next prime is 72006919. The reversal of 72006912 is 21960027.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 7750656 = 8016^2 + 2784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72006911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13323 + ... + 17930.

Almost surely, 2^72006912 is an apocalyptic number.

72006912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72006912 is an abundant number, since it is smaller than the sum of its proper divisors (135613410).

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

72006912 is a wasteful number, since it uses less digits than its factorization.

72006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31275 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72006912 is about 8485.6886579700. The cubic root of 72006912 is about 416.0300767209.

Adding to 72006912 its reverse (21960027), we get a palindrome (93966939).

The spelling of 72006912 in words is "seventy-two million, six thousand, nine hundred twelve".