72256665600 has 1440 divisors, whose sum is σ = 324410486400. Its totient is φ = 15527116800.

The previous prime is 72256665599. The next prime is 72256665661. The reversal of 72256665600 is 656665227.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 551577535 + ... + 551577665.

It is an arithmetic number, because the mean of its divisors is an integer number (225285060).

Almost surely, 2^72256665600 is an apocalyptic number.

72256665600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72256665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162205243200).

72256665600 is an abundant number, since it is smaller than the sum of its proper divisors (252153820800).

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

72256665600 is a wasteful number, since it uses less digits than its factorization.

72256665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 72256665600 in words is "seventy-two billion, two hundred fifty-six million, six hundred sixty-five thousand, six hundred".