72180072 has 160 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 22087296.

The previous prime is 72180047. The next prime is 72180077. The reversal of 72180072 is 27008127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72180077) 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 39 ways as a sum of consecutive naturals, for example, 432133 + ... + 432299.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^72180072 is an apocalyptic number.

72180072 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 72180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

72180072 is an abundant number, since it is smaller than the sum of its proper divisors (147362328).

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

72180072 is a wasteful number, since it uses less digits than its factorization.

72180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72180072 is about 8495.8855924500. The cubic root of 72180072 is about 416.3632951892.

Adding to 72180072 its reverse (27008127), we get a palindrome (99188199).

The spelling of 72180072 in words is "seventy-two million, one hundred eighty thousand, seventy-two".