72944825 has 12 divisors (see below), whose sum is σ = 90617340. Its totient is φ = 58248960.

The previous prime is 72944821. The next prime is 72944881. The reversal of 72944825 is 52844927.

It can be written as a sum of positive squares in 6 ways, for example, as 35331136 + 37613689 = 5944^2 + 6133^2 .

It is not a de Polignac number, because 72944825 - 2² = 72944821 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72944821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13061 + ... + 17789.

It is an arithmetic number, because the mean of its divisors is an integer number (7551445).

Almost surely, 2^72944825 is an apocalyptic number.

It is an amenable number.

72944825 is a deficient number, since it is larger than the sum of its proper divisors (17672515).

72944825 is a wasteful number, since it uses less digits than its factorization.

72944825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5351 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 72944825 is about 8540.7742623254. The cubic root of 72944825 is about 417.8285985601.

It can be divided in two parts, 729 and 44825, that added together give a palindrome (45554).

The spelling of 72944825 in words is "seventy-two million, nine hundred forty-four thousand, eight hundred twenty-five".