161272272 has 80 divisors (see below), whose sum is σ = 481576320. Its totient is φ = 45551616.

The previous prime is 161272271. The next prime is 161272289. The reversal of 161272272 is 272272161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161272271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27208 + ... + 32600.

It is an arithmetic number, because the mean of its divisors is an integer number (6019704).

Almost surely, 2^161272272 is an apocalyptic number.

161272272 is a gapful number since it is divisible by the number (12) 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 161272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240788160).

161272272 is an abundant number, since it is smaller than the sum of its proper divisors (320304048).

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

161272272 is a wasteful number, since it uses less digits than its factorization.

161272272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5494 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 161272272 is about 12699.3020280644. The cubic root of 161272272 is about 544.3186750197.

The spelling of 161272272 in words is "one hundred sixty-one million, two hundred seventy-two thousand, two hundred seventy-two".