72008794260 has 720 divisors, whose sum is σ = 261889689600. Its totient is φ = 16507266048.

The previous prime is 72008794223. The next prime is 72008794283. The reversal of 72008794260 is 6249780027.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 566998317 + ... + 566998443.

It is an arithmetic number, because the mean of its divisors is an integer number (363735680).

Almost surely, 2^72008794260 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 72008794260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944844800).

72008794260 is an abundant number, since it is smaller than the sum of its proper divisors (189880895340).

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

72008794260 is a wasteful number, since it uses less digits than its factorization.

72008794260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72008794260 in words is "seventy-two billion, eight million, seven hundred ninety-four thousand, two hundred sixty".