72221952 has 144 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 21411840.

The previous prime is 72221923. The next prime is 72221953. The reversal of 72221952 is 25912227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221953) 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 15 ways as a sum of consecutive naturals, for example, 701133 + ... + 701235.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^72221952 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 72221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

72221952 is an abundant number, since it is smaller than the sum of its proper divisors (142054656).

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

72221952 is a wasteful number, since it uses less digits than its factorization.

72221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 72221952 is about 8498.3499574917. The cubic root of 72221952 is about 416.4438064390.

The spelling of 72221952 in words is "seventy-two million, two hundred twenty-one thousand, nine hundred fifty-two".