72224082 has 64 divisors (see below), whose sum is σ = 184746240. Its totient is φ = 20487168.

The previous prime is 72224059. The next prime is 72224137. The reversal of 72224082 is 28042227.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 58738 + ... + 59954.

It is an arithmetic number, because the mean of its divisors is an integer number (2886660).

Almost surely, 2^72224082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72224082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92373120).

72224082 is an abundant number, since it is smaller than the sum of its proper divisors (112522158).

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

72224082 is a wasteful number, since it uses less digits than its factorization.

72224082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72224082 is about 8498.4752750126. The cubic root of 72224082 is about 416.4479003770.

The spelling of 72224082 in words is "seventy-two million, two hundred twenty-four thousand, eighty-two".