72838818 has 128 divisors (see below), whose sum is σ = 189235200. Its totient is φ = 20575296.

The previous prime is 72838817. The next prime is 72838841. The reversal of 72838818 is 81883827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72838813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573471 + ... + 573597.

It is an arithmetic number, because the mean of its divisors is an integer number (1478400).

Almost surely, 2^72838818 is an apocalyptic number.

72838818 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72838818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94617600).

72838818 is an abundant number, since it is smaller than the sum of its proper divisors (116396382).

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

72838818 is a wasteful number, since it uses less digits than its factorization.

72838818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 72838818 is about 8534.5660698128. The cubic root of 72838818 is about 417.6260974244.

The spelling of 72838818 in words is "seventy-two million, eight hundred thirty-eight thousand, eight hundred eighteen".