72284667504 has 240 divisors, whose sum is σ = 222255239040. Its totient is φ = 20178654720.

The previous prime is 72284667491. The next prime is 72284667517. The reversal of 72284667504 is 40576648227.

It is an interprime number because it is at equal distance from previous prime (72284667491) and next prime (72284667517).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24005359 + ... + 24008369.

It is an arithmetic number, because the mean of its divisors is an integer number (926063496).

Almost surely, 2^72284667504 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 72284667504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111127619520).

72284667504 is an abundant number, since it is smaller than the sum of its proper divisors (149970571536).

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

72284667504 is a wasteful number, since it uses less digits than its factorization.

72284667504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 72284667504 in words is "seventy-two billion, two hundred eighty-four million, six hundred sixty-seven thousand, five hundred four".