72245682 has 80 divisors (see below), whose sum is σ = 176287320. Its totient is φ = 22021632.

The previous prime is 72245669. The next prime is 72245687. The reversal of 72245682 is 28654227.

72245682 is a `hidden beast` number, since 72 + 24 + 568 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68707521 + 3538161 = 8289^2 + 1881^2 .

Its product of digits (53760) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (72245687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101544 + ... + 102252.

Almost surely, 2^72245682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72245682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88143660).

72245682 is an abundant number, since it is smaller than the sum of its proper divisors (104041638).

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

72245682 is a wasteful number, since it uses less digits than its factorization.

72245682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 72245682 is about 8499.7459962048. The cubic root of 72245682 is about 416.4894118222.

It can be divided in two parts, 72245 and 682, that added together give a palindrome (72927).

The spelling of 72245682 in words is "seventy-two million, two hundred forty-five thousand, six hundred eighty-two".