72863208 has 96 divisors (see below), whose sum is σ = 216833760. Its totient is φ = 21920640.

The previous prime is 72863159. The next prime is 72863209. The reversal of 72863208 is 80236827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72863209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155791 + ... + 156257.

It is an arithmetic number, because the mean of its divisors is an integer number (2258685).

Almost surely, 2^72863208 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 72863208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108416880).

72863208 is an abundant number, since it is smaller than the sum of its proper divisors (143970552).

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

72863208 is a wasteful number, since it uses less digits than its factorization.

72863208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72863208 is about 8535.9948453593. The cubic root of 72863208 is about 417.6727061059.

It can be divided in two parts, 728 and 63208, that added together give a palindrome (63936).

The spelling of 72863208 in words is "seventy-two million, eight hundred sixty-three thousand, two hundred eight".