161112672 has 192 divisors, whose sum is σ = 568995840. Its totient is φ = 43296768.

The previous prime is 161112649. The next prime is 161112683. The reversal of 161112672 is 276211161.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102033 + ... + 103599.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^161112672 is an apocalyptic number.

161112672 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 161112672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

161112672 is an abundant number, since it is smaller than the sum of its proper divisors (407883168).

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

161112672 is a wasteful number, since it uses less digits than its factorization.

161112672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 161112672 is about 12693.0166627166. The cubic root of 161112672 is about 544.1390575882.

The spelling of 161112672 in words is "one hundred sixty-one million, one hundred twelve thousand, six hundred seventy-two".