72221508 has 72 divisors (see below), whose sum is σ = 203505120. Its totient is φ = 21461760.

The previous prime is 72221507. The next prime is 72221531. The reversal of 72221508 is 80512227.

It is not an unprimeable number, because it can be changed into a prime (72221503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8523 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (2826460).

Almost surely, 2^72221508 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 72221508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101752560).

72221508 is an abundant number, since it is smaller than the sum of its proper divisors (131283612).

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

72221508 is a wasteful number, since it uses less digits than its factorization.

72221508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72221508 is about 8498.3238347335. The cubic root of 72221508 is about 416.4429530446.

The spelling of 72221508 in words is "seventy-two million, two hundred twenty-one thousand, five hundred eight".