72021560 has 64 divisors (see below), whose sum is σ = 178627680. Its totient is φ = 25966080.

The previous prime is 72021557. The next prime is 72021563. The reversal of 72021560 is 6512027.

It is an interprime number because it is at equal distance from previous prime (72021557) and next prime (72021563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72021563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20750 + ... + 23970.

Almost surely, 2^72021560 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 72021560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89313840).

72021560 is an abundant number, since it is smaller than the sum of its proper divisors (106606120).

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

72021560 is a wasteful number, since it uses less digits than its factorization.

72021560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72021560 is about 8486.5517143301. The cubic root of 72021560 is about 416.0582851026.

Adding to 72021560 its reverse (6512027), we get a palindrome (78533587).

The spelling of 72021560 in words is "seventy-two million, twenty-one thousand, five hundred sixty".