72256016 has 40 divisors (see below), whose sum is σ = 162400320. Its totient is φ = 30501504.

The previous prime is 72256003. The next prime is 72256021. The reversal of 72256016 is 61065227.

It is a self number, because there is not a number n which added to its sum of digits gives 72256016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2690 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (4060008).

Almost surely, 2^72256016 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 72256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81200160).

72256016 is an abundant number, since it is smaller than the sum of its proper divisors (90144304).

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

72256016 is a wasteful number, since it uses less digits than its factorization.

72256016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72256016 is about 8500.3538749866. The cubic root of 72256016 is about 416.5092690476.

The spelling of 72256016 in words is "seventy-two million, two hundred fifty-six thousand, sixteen".