72026020 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 24777600.

The previous prime is 72026011. The next prime is 72026023. The reversal of 72026020 is 2062027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72026023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402291 + ... + 402469.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^72026020 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 72026020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

72026020 is an abundant number, since it is smaller than the sum of its proper divisors (102156380).

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

72026020 is a wasteful number, since it uses less digits than its factorization.

72026020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72026020 is about 8486.8144789432. The cubic root of 72026020 is about 416.0668731867.

Adding to 72026020 its reverse (2062027), we get a palindrome (74088047).

The spelling of 72026020 in words is "seventy-two million, twenty-six thousand, twenty".