72838872036 has 144 divisors (see below), whose sum is σ = 222967413760. Its totient is φ = 19585022400.

The previous prime is 72838872013. The next prime is 72838872037. The reversal of 72838872036 is 63027883827.

It is not an unprimeable number, because it can be changed into a prime (72838872037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672615 + ... + 773361.

Almost surely, 2^72838872036 is an apocalyptic number.

72838872036 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72838872036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111483706880).

72838872036 is an abundant number, since it is smaller than the sum of its proper divisors (150128541724).

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

72838872036 is a wasteful number, since it uses less digits than its factorization.

72838872036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100934 (or 100929 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 72838872036 in words is "seventy-two billion, eight hundred thirty-eight million, eight hundred seventy-two thousand, thirty-six".