72283545600 has 588 divisors, whose sum is σ = 278836497444. Its totient is φ = 16521953280.

The previous prime is 72283545571. The next prime is 72283545637. The reversal of 72283545600 is 654538227.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 41 ways as a sum of consecutive naturals, for example, 10326220797 + ... + 10326220803.

Almost surely, 2^72283545600 is an apocalyptic number.

72283545600 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 72283545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139418248722).

72283545600 is an abundant number, since it is smaller than the sum of its proper divisors (206552951844).

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

72283545600 is an frugal number, since it uses more digits than its factorization.

72283545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 72283545600 in words is "seventy-two billion, two hundred eighty-three million, five hundred forty-five thousand, six hundred".