72000109560 has 128 divisors (see below), whose sum is σ = 219900096000. Its totient is φ = 18854094336.

The previous prime is 72000109547. The next prime is 72000109609. The reversal of 72000109560 is 6590100027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167021 + ... + 7177059.

It is an arithmetic number, because the mean of its divisors is an integer number (1717969500).

Almost surely, 2^72000109560 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 72000109560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109950048000).

72000109560 is an abundant number, since it is smaller than the sum of its proper divisors (147899986440).

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

72000109560 is a wasteful number, since it uses less digits than its factorization.

72000109560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 72000109560 its reverse (6590100027), we get a palindrome (78590209587).

The spelling of 72000109560 in words is "seventy-two billion, one hundred nine thousand, five hundred sixty".