72265314 has 32 divisors (see below), whose sum is σ = 158990400. Its totient is φ = 21896160.

The previous prime is 72265279. The next prime is 72265357. The reversal of 72265314 is 41356227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3462 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (4968450).

Almost surely, 2^72265314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72265314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495200).

72265314 is an abundant number, since it is smaller than the sum of its proper divisors (86725086).

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

72265314 is a wasteful number, since it uses less digits than its factorization.

72265314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9065 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 72265314 is about 8500.9007758002. The cubic root of 72265314 is about 416.5271339365.

The spelling of 72265314 in words is "seventy-two million, two hundred sixty-five thousand, three hundred fourteen".