72128196 has 108 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 19928160.

The previous prime is 72128183. The next prime is 72128197. The reversal of 72128196 is 69182127.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72128196.

It is not an unprimeable number, because it can be changed into a prime (72128197) 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 35 ways as a sum of consecutive naturals, for example, 54025 + ... + 55343.

Almost surely, 2^72128196 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 72128196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

72128196 is an abundant number, since it is smaller than the sum of its proper divisors (146970684).

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

72128196 is a wasteful number, since it uses less digits than its factorization.

72128196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

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

The square root of 72128196 is about 8492.8320364882. The cubic root of 72128196 is about 416.2635241663.

The spelling of 72128196 in words is "seventy-two million, one hundred twenty-eight thousand, one hundred ninety-six".