72186266880 has 1080 divisors, whose sum is σ = 323875229832. Its totient is φ = 15216574464.

The previous prime is 72186266869. The next prime is 72186266927. The reversal of 72186266880 is 8866268127.

72186266880 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 626 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14147675136 + 58038591744 = 118944^2 + 240912^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66043614 + ... + 66044706.

Almost surely, 2^72186266880 is an apocalyptic number.

72186266880 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 72186266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161937614916).

72186266880 is an abundant number, since it is smaller than the sum of its proper divisors (251688962952).

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

72186266880 is a wasteful number, since it uses less digits than its factorization.

72186266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 72186266880 in words is "seventy-two billion, one hundred eighty-six million, two hundred sixty-six thousand, eight hundred eighty".