162267672 has 64 divisors (see below), whose sum is σ = 465396480. Its totient is φ = 46184832.

The previous prime is 162267653. The next prime is 162267683. The reversal of 162267672 is 276762261.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162267672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45838 + ... + 49250.

It is an arithmetic number, because the mean of its divisors is an integer number (7271820).

Almost surely, 2^162267672 is an apocalyptic number.

162267672 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 162267672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232698240).

162267672 is an abundant number, since it is smaller than the sum of its proper divisors (303128808).

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

162267672 is a wasteful number, since it uses less digits than its factorization.

162267672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 162267672 is about 12738.4328706478. The cubic root of 162267672 is about 545.4362548008.

The spelling of 162267672 in words is "one hundred sixty-two million, two hundred sixty-seven thousand, six hundred seventy-two".