72245712 has 120 divisors (see below), whose sum is σ = 234582208. Its totient is φ = 18754560.

The previous prime is 72245707. The next prime is 72245713. The reversal of 72245712 is 21754227.

It is a self number, because there is not a number n which added to its sum of digits gives 72245712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72245713) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39768 + ... + 41544.

Almost surely, 2^72245712 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 72245712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117291104).

72245712 is an abundant number, since it is smaller than the sum of its proper divisors (162336496).

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

72245712 is a wasteful number, since it uses less digits than its factorization.

72245712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1800 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 72245712 is about 8499.7477609633. The cubic root of 72245712 is about 416.4894694712.

Adding to 72245712 its reverse (21754227), we get a palindrome (93999939).

The spelling of 72245712 in words is "seventy-two million, two hundred forty-five thousand, seven hundred twelve".