72939112848 has 320 divisors, whose sum is σ = 257735884800. Its totient is φ = 19290078720.

The previous prime is 72939112847. The next prime is 72939112853. The reversal of 72939112848 is 84821193927.

It is a super-2 number, since 2×72939112848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72939112794 and 72939112803.

It is not an unprimeable number, because it can be changed into a prime (72939112847) 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, 2139198 + ... + 2173026.

It is an arithmetic number, because the mean of its divisors is an integer number (805424640).

Almost surely, 2^72939112848 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 72939112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128867942400).

72939112848 is an abundant number, since it is smaller than the sum of its proper divisors (184796771952).

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

72939112848 is a wasteful number, since it uses less digits than its factorization.

72939112848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33907 (or 33895 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 72939112848 in words is "seventy-two billion, nine hundred thirty-nine million, one hundred twelve thousand, eight hundred forty-eight".