72026820 has 120 divisors (see below), whose sum is σ = 228141144. Its totient is φ = 19021824.

The previous prime is 72026789. The next prime is 72026821. The reversal of 72026820 is 2862027.

It can be written as a sum of positive squares in 4 ways, for example, as 43639236 + 28387584 = 6606^2 + 5328^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72026821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280132 + ... + 280388.

Almost surely, 2^72026820 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 72026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114070572).

72026820 is an abundant number, since it is smaller than the sum of its proper divisors (156114324).

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

72026820 is a wasteful number, since it uses less digits than its factorization.

72026820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72026820 is about 8486.8616107487. The cubic root of 72026820 is about 416.0684136128.

Adding to 72026820 its reverse (2862027), we get a palindrome (74888847).

The spelling of 72026820 in words is "seventy-two million, twenty-six thousand, eight hundred twenty".