72518751360 has 768 divisors, whose sum is σ = 290245161600. Its totient is φ = 16970342400.

The previous prime is 72518751323. The next prime is 72518751407. The reversal of 72518751360 is 6315781527.

It is a happy number.

72518751360 is a `hidden beast` number, since 7 + 2 + 51 + 87 + 513 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182666682 + ... + 182667078.

Almost surely, 2^72518751360 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 72518751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145122580800).

72518751360 is an abundant number, since it is smaller than the sum of its proper divisors (217726410240).

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

72518751360 is a wasteful number, since it uses less digits than its factorization.

72518751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 72518751360 in words is "seventy-two billion, five hundred eighteen million, seven hundred fifty-one thousand, three hundred sixty".