72102637984320 has 336 divisors, whose sum is σ = 250365075787008. Its totient is φ = 19044307476480.

The previous prime is 72102637984309. The next prime is 72102637984361. The reversal of 72102637984320 is 2348973620127.

It is a happy number.

72102637984320 is a `hidden beast` number, since 7 + 210 + 26 + 3 + 7 + 9 + 84 + 320 = 666.

It is a super-3 number, since 3×72102637984320³ (a number of 43 digits) contains 333 as substring.

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, 2083452457 + ... + 2083487063.

It is an arithmetic number, because the mean of its divisors is an integer number (745134154128).

Almost surely, 2^{72102637984320} 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 72102637984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125182537893504).

72102637984320 is an abundant number, since it is smaller than the sum of its proper divisors (178262437802688).

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

72102637984320 is a wasteful number, since it uses less digits than its factorization.

72102637984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41498 (or 41485 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72102637984320 in words is "seventy-two trillion, one hundred two billion, six hundred thirty-seven million, nine hundred eighty-four thousand, three hundred twenty".