72008712 has 24 divisors (see below), whose sum is σ = 195023790. Its totient is φ = 24002880.

The previous prime is 72008701. The next prime is 72008759. The reversal of 72008712 is 21780027.

It can be written as a sum of positive squares in only one way, i.e., 36796356 + 35212356 = 6066^2 + 5934^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499989 + ... + 500132.

Almost surely, 2^72008712 is an apocalyptic number.

72008712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72008712 is an abundant number, since it is smaller than the sum of its proper divisors (123015078).

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

72008712 is a wasteful number, since it uses less digits than its factorization.

72008712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000133 (or 1000126 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72008712 is about 8485.7947182335. The cubic root of 72008712 is about 416.0335432765.

Adding to 72008712 its reverse (21780027), we get a palindrome (93788739).

It can be divided in two parts, 7200 and 8712, that multiplied together give a square (62726400 = 7920²).

The spelling of 72008712 in words is "seventy-two million, eight thousand, seven hundred twelve".