72368840 has 16 divisors (see below), whose sum is σ = 162829980. Its totient is φ = 28947520.

The previous prime is 72368831. The next prime is 72368843. The reversal of 72368840 is 4886327.

It can be written as a sum of positive squares in 2 ways, for example, as 65577604 + 6791236 = 8098^2 + 2606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72368794 and 72368803.

It is not an unprimeable number, because it can be changed into a prime (72368843) 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, 904571 + ... + 904650.

Almost surely, 2^72368840 is an apocalyptic number.

It is an amenable number.

72368840 is an abundant number, since it is smaller than the sum of its proper divisors (90461140).

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

72368840 is a wasteful number, since it uses less digits than its factorization.

72368840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809232 (or 1809228 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 72368840 is about 8506.9877159897. The cubic root of 72368840 is about 416.7259421448.

The spelling of 72368840 in words is "seventy-two million, three hundred sixty-eight thousand, eight hundred forty".