72823336040 has 256 divisors, whose sum is σ = 214360473600. Its totient is φ = 21620265984.

The previous prime is 72823336031. The next prime is 72823336043. The reversal of 72823336040 is 4063332827.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 72823335985 and 72823336003.

It is not an unprimeable number, because it can be changed into a prime (72823336043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7118369 + ... + 7128591.

It is an arithmetic number, because the mean of its divisors is an integer number (837345600).

Almost surely, 2^72823336040 is an apocalyptic number.

72823336040 is a gapful number since it is divisible by the number (70) 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 72823336040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180236800).

72823336040 is an abundant number, since it is smaller than the sum of its proper divisors (141537137560).

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

72823336040 is a wasteful number, since it uses less digits than its factorization.

72823336040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

Adding to 72823336040 its reverse (4063332827), we get a palindrome (76886668867).

The spelling of 72823336040 in words is "seventy-two billion, eight hundred twenty-three million, three hundred thirty-six thousand, forty".