72186912 has 144 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 20252160.

The previous prime is 72186911. The next prime is 72186929. The reversal of 72186912 is 21968127.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72186911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122683 + ... + 123269.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2^72186912 is an apocalyptic number.

72186912 is a gapful number since it is divisible by the number (72) 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 72186912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

72186912 is an abundant number, since it is smaller than the sum of its proper divisors (166672800).

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

72186912 is a wasteful number, since it uses less digits than its factorization.

72186912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72186912 is about 8496.2881307074. The cubic root of 72186912 is about 416.3764467184.

The spelling of 72186912 in words is "seventy-two million, one hundred eighty-six thousand, nine hundred twelve".