72814448 has 40 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 31078080.

The previous prime is 72814429. The next prime is 72814459. The reversal of 72814448 is 84441827.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29153 + ... + 31551.

It is an arithmetic number, because the mean of its divisors is an integer number (4047360).

Almost surely, 2^72814448 is an apocalyptic number.

It is an amenable number.

72814448 is an abundant number, since it is smaller than the sum of its proper divisors (89079952).

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

72814448 is a wasteful number, since it uses less digits than its factorization.

72814448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2679 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 72814448 is about 8533.1382269362. The cubic root of 72814448 is about 417.5795165694.

The spelling of 72814448 in words is "seventy-two million, eight hundred fourteen thousand, four hundred forty-eight".