72212382 has 48 divisors (see below), whose sum is σ = 175314672. Its totient is φ = 21288960.

The previous prime is 72212381. The next prime is 72212389. The reversal of 72212382 is 28321227.

It is a happy number.

72212382 is a `hidden beast` number, since 72 + 212 + 382 = 666.

It is a super-2 number, since 2×72212382² = 10429256228227848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72212381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2398 + ... + 12254.

It is an arithmetic number, because the mean of its divisors is an integer number (3652389).

Almost surely, 2^72212382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72212382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87657336).

72212382 is an abundant number, since it is smaller than the sum of its proper divisors (103102290).

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

72212382 is a wasteful number, since it uses less digits than its factorization.

72212382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9910 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72212382 is about 8497.7868883610. The cubic root of 72212382 is about 416.4254115551.

The spelling of 72212382 in words is "seventy-two million, two hundred twelve thousand, three hundred eighty-two".