72023820 has 192 divisors, whose sum is σ = 235146240. Its totient is φ = 16307200.

The previous prime is 72023801. The next prime is 72023843. The reversal of 72023820 is 2832027.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014385 + ... + 1014455.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^72023820 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 72023820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

72023820 is an abundant number, since it is smaller than the sum of its proper divisors (163122420).

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

72023820 is a wasteful number, since it uses less digits than its factorization.

72023820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72023820 is about 8486.6848651284. The cubic root of 72023820 is about 416.0626369564.

Adding to 72023820 its reverse (2832027), we get a palindrome (74855847).

The spelling of 72023820 in words is "seventy-two million, twenty-three thousand, eight hundred twenty".