72220266 has 48 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 22488480.

The previous prime is 72220261. The next prime is 72220289. The reversal of 72220266 is 66202227.

It is a super-2 number, since 2×72220266² = 10431533642221512, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72220261) 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, 13951 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^72220266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72220266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

72220266 is an abundant number, since it is smaller than the sum of its proper divisors (94911894).

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

72220266 is a wasteful number, since it uses less digits than its factorization.

72220266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72220266 is about 8498.2507611861. The cubic root of 72220266 is about 416.4405658282.

The spelling of 72220266 in words is "seventy-two million, two hundred twenty thousand, two hundred sixty-six".