72188748 has 54 divisors (see below), whose sum is σ = 186277364. Its totient is φ = 23566752.

The previous prime is 72188747. The next prime is 72188761. The reversal of 72188748 is 84788127.

It is a super-3 number, since 3×72188748³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72188747) 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 17 ways as a sum of consecutive naturals, for example, 417190 + ... + 417362.

Almost surely, 2^72188748 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 72188748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93138682).

72188748 is an abundant number, since it is smaller than the sum of its proper divisors (114088616).

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

72188748 is a wasteful number, since it uses less digits than its factorization.

72188748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 245 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 72188748 is about 8496.3961772036. The cubic root of 72188748 is about 416.3799767243.

The spelling of 72188748 in words is "seventy-two million, one hundred eighty-eight thousand, seven hundred forty-eight".