72221760 has 224 divisors, whose sum is σ = 274807680. Its totient is φ = 17750016.

The previous prime is 72221753. The next prime is 72221761. The reversal of 72221760 is 6712227.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (72221761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111999 + ... + 112641.

It is an arithmetic number, because the mean of its divisors is an integer number (1226820).

Almost surely, 2^72221760 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 72221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

72221760 is an abundant number, since it is smaller than the sum of its proper divisors (202585920).

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

72221760 is a wasteful number, since it uses less digits than its factorization.

72221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72221760 is about 8498.3386611737. The cubic root of 72221760 is about 416.4434374040.

Adding to 72221760 its reverse (6712227), we get a palindrome (78933987).

The spelling of 72221760 in words is "seventy-two million, two hundred twenty-one thousand, seven hundred sixty".