72108556800 has 720 divisors, whose sum is σ = 291825563040. Its totient is φ = 15606743040.

The previous prime is 72108556763. The next prime is 72108556823. The reversal of 72108556800 is 865580127.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35749392 + ... + 35751408.

It is an arithmetic number, because the mean of its divisors is an integer number (405313282).

Almost surely, 2^72108556800 is an apocalyptic number.

72108556800 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 72108556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145912781520).

72108556800 is an abundant number, since it is smaller than the sum of its proper divisors (219717006240).

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

72108556800 is a wasteful number, since it uses less digits than its factorization.

72108556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 72108556800 in words is "seventy-two billion, one hundred eight million, five hundred fifty-six thousand, eight hundred".