72844140 has 48 divisors (see below), whose sum is σ = 204553440. Its totient is φ = 19368960.

The previous prime is 72844139. The next prime is 72844147. The reversal of 72844140 is 4144827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72844098 and 72844107.

It is not an unprimeable number, because it can be changed into a prime (72844147) by changing a digit.

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, 21780 + ... + 24900.

It is an arithmetic number, because the mean of its divisors is an integer number (4261530).

Almost surely, 2^72844140 is an apocalyptic number.

It is an amenable number.

72844140 is an abundant number, since it is smaller than the sum of its proper divisors (131709300).

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

72844140 is a wasteful number, since it uses less digits than its factorization.

72844140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 72844140 is about 8534.8778550135. The cubic root of 72844140 is about 417.6362685210.

Adding to 72844140 its reverse (4144827), we get a palindrome (76988967).

The spelling of 72844140 in words is "seventy-two million, eight hundred forty-four thousand, one hundred forty".