72223280 has 80 divisors (see below), whose sum is σ = 173426400. Its totient is φ = 27961344.

The previous prime is 72223279. The next prime is 72223321. The reversal of 72223280 is 8232227.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484646 + ... + 484794.

It is an arithmetic number, because the mean of its divisors is an integer number (2167830).

Almost surely, 2^72223280 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 72223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713200).

72223280 is an abundant number, since it is smaller than the sum of its proper divisors (101203120).

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

72223280 is a wasteful number, since it uses less digits than its factorization.

72223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 72223280 is about 8498.4280899470. The cubic root of 72223280 is about 416.4463589131.

The spelling of 72223280 in words is "seventy-two million, two hundred twenty-three thousand, two hundred eighty".