72363808 has 48 divisors (see below), whose sum is σ = 156794400. Its totient is φ = 32873280.

The previous prime is 72363803. The next prime is 72363829. The reversal of 72363808 is 80836327.

It is not an unprimeable number, because it can be changed into a prime (72363803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41743 + ... + 43441.

It is an arithmetic number, because the mean of its divisors is an integer number (3266550).

Almost surely, 2^72363808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72363808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78397200).

72363808 is an abundant number, since it is smaller than the sum of its proper divisors (84430592).

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

72363808 is a wasteful number, since it uses less digits than its factorization.

72363808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 72363808 is about 8506.6919539854. The cubic root of 72363808 is about 416.7162832292.

The spelling of 72363808 in words is "seventy-two million, three hundred sixty-three thousand, eight hundred eight".