72028999224 has 720 divisors, whose sum is σ = 262931296320. Its totient is φ = 18341406720.

The previous prime is 72028999223. The next prime is 72028999241. The reversal of 72028999224 is 42299982027.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72028999223) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 166348512 + ... + 166348944.

It is an arithmetic number, because the mean of its divisors is an integer number (365182356).

Almost surely, 2^72028999224 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 72028999224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131465648160).

72028999224 is an abundant number, since it is smaller than the sum of its proper divisors (190902297096).

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

72028999224 is a wasteful number, since it uses less digits than its factorization.

72028999224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 72028999224 in words is "seventy-two billion, twenty-eight million, nine hundred ninety-nine thousand, two hundred twenty-four".