168273072 has 160 divisors (see below), whose sum is σ = 558178560. Its totient is φ = 47969280.

The previous prime is 168273059. The next prime is 168273073. The reversal of 168273072 is 270372861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168273073) 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 31 ways as a sum of consecutive naturals, for example, 79743 + ... + 81825.

It is an arithmetic number, because the mean of its divisors is an integer number (3488616).

Almost surely, 2^168273072 is an apocalyptic number.

168273072 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 168273072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279089280).

168273072 is an abundant number, since it is smaller than the sum of its proper divisors (389905488).

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

168273072 is a wasteful number, since it uses less digits than its factorization.

168273072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 168273072 is about 12972.0111008278. The cubic root of 168273072 is about 552.0836357206.

The spelling of 168273072 in words is "one hundred sixty-eight million, two hundred seventy-three thousand, seventy-two".