162642672 has 180 divisors, whose sum is σ = 505458720. Its totient is φ = 48642048.

The previous prime is 162642671. The next prime is 162642673. The reversal of 162642672 is 276246261.

162642672 is a `hidden beast` number, since 1 + 6 + 2 + 642 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (162642671) and next prime (162642673).

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

Its product of digits (48384) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162642671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2058729 + ... + 2058807.

It is an arithmetic number, because the mean of its divisors is an integer number (2808104).

Almost surely, 2^162642672 is an apocalyptic number.

162642672 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 162642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252729360).

162642672 is an abundant number, since it is smaller than the sum of its proper divisors (342816048).

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

162642672 is a wasteful number, since it uses less digits than its factorization.

162642672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 162642672 is about 12753.1436124589. The cubic root of 162642672 is about 545.8560986148.

The spelling of 162642672 in words is "one hundred sixty-two million, six hundred forty-two thousand, six hundred seventy-two".