72107145600 has 1152 divisors, whose sum is σ = 298986577920. Its totient is φ = 15173222400.

The previous prime is 72107145563. The next prime is 72107145619. The reversal of 72107145600 is 654170127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 567772737 + ... + 567772863.

It is an arithmetic number, because the mean of its divisors is an integer number (259536960).

Almost surely, 2^72107145600 is an apocalyptic number.

72107145600 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 72107145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149493288960).

72107145600 is an abundant number, since it is smaller than the sum of its proper divisors (226879432320).

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

72107145600 is a wasteful number, since it uses less digits than its factorization.

72107145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 72107145600 in words is "seventy-two billion, one hundred seven million, one hundred forty-five thousand, six hundred".