72047168 has 28 divisors (see below), whose sum is σ = 146460972. Its totient is φ = 35143680.

The previous prime is 72047167. The next prime is 72047197. The reversal of 72047168 is 86174027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 68690944 = 1832^2 + 8288^2 .

It is not an unprimeable number, because it can be changed into a prime (72047167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11105 + ... + 16352.

It is an arithmetic number, because the mean of its divisors is an integer number (5230749).

Almost surely, 2^72047168 is an apocalyptic number.

It is an amenable number.

72047168 is an abundant number, since it is smaller than the sum of its proper divisors (74413804).

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

72047168 is a wasteful number, since it uses less digits than its factorization.

72047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27510 (or 27500 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 72047168 is about 8488.0603202381. The cubic root of 72047168 is about 416.1075905145.

The spelling of 72047168 in words is "seventy-two million, forty-seven thousand, one hundred sixty-eight".