72020560 has 40 divisors (see below), whose sum is σ = 169192296. Its totient is φ = 28508160.

The previous prime is 72020549. The next prime is 72020569. The reversal of 72020560 is 6502027.

It can be written as a sum of positive squares in 4 ways, for example, as 17909824 + 54110736 = 4232^2 + 7356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×72020560² = 10373922125427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72020569) 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 7 ways as a sum of consecutive naturals, for example, 3120 + ... + 12400.

Almost surely, 2^72020560 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 72020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84596148).

72020560 is an abundant number, since it is smaller than the sum of its proper divisors (97171736).

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

72020560 is a wasteful number, since it uses less digits than its factorization.

72020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72020560 is about 8486.4927973810. The cubic root of 72020560 is about 416.0563594746.

Adding to 72020560 its reverse (6502027), we get a palindrome (78522587).

The spelling of 72020560 in words is "seventy-two million, twenty thousand, five hundred sixty".