72105137280 has 768 divisors, whose sum is σ = 284938093440. Its totient is φ = 17278894080.

The previous prime is 72105137267. The next prime is 72105137309. The reversal of 72105137280 is 8273150127.

72105137280 is a `hidden beast` number, since 72 + 1 + 0 + 513 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 193311174 + ... + 193311546.

Almost surely, 2^72105137280 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 72105137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142469046720).

72105137280 is an abundant number, since it is smaller than the sum of its proper divisors (212832956160).

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

72105137280 is a wasteful number, since it uses less digits than its factorization.

72105137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 72105137280 in words is "seventy-two billion, one hundred five million, one hundred thirty-seven thousand, two hundred eighty".