72322020 has 72 divisors (see below), whose sum is σ = 222505920. Its totient is φ = 19010880.

The previous prime is 72322007. The next prime is 72322021. The reversal of 72322020 is 2022327.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72321984 and 72322002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72322021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (3090360).

Almost surely, 2^72322020 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 72322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111252960).

72322020 is an abundant number, since it is smaller than the sum of its proper divisors (150183900).

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

72322020 is a wasteful number, since it uses less digits than its factorization.

72322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72322020 is about 8504.2354153680. The cubic root of 72322020 is about 416.6360539287.

Adding to 72322020 its reverse (2022327), we get a palindrome (74344347).

The spelling of 72322020 in words is "seventy-two million, three hundred twenty-two thousand, twenty".