72221610 has 128 divisors (see below), whose sum is σ = 197074944. Its totient is φ = 16839680.

The previous prime is 72221561. The next prime is 72221647. The reversal of 72221610 is 1612227.

It is a super-3 number, since 3×72221610³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 551245 + ... + 551375.

It is an arithmetic number, because the mean of its divisors is an integer number (1539648).

Almost surely, 2^72221610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72221610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98537472).

72221610 is an abundant number, since it is smaller than the sum of its proper divisors (124853334).

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

72221610 is a wasteful number, since it uses less digits than its factorization.

72221610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72221610 is about 8498.3298359148. The cubic root of 72221610 is about 416.4431490950.

Adding to 72221610 its reverse (1612227), we get a palindrome (73833837).

The spelling of 72221610 in words is "seventy-two million, two hundred twenty-one thousand, six hundred ten".