162517872 has 80 divisors (see below), whose sum is σ = 472826880. Its totient is φ = 47654400.

The previous prime is 162517871. The next prime is 162517877. The reversal of 162517872 is 278715261.

It is a self number, because there is not a number n which added to its sum of digits gives 162517872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162517871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11404 + ... + 21332.

It is an arithmetic number, because the mean of its divisors is an integer number (5910336).

Almost surely, 2^162517872 is an apocalyptic number.

162517872 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 162517872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236413440).

162517872 is an abundant number, since it is smaller than the sum of its proper divisors (310309008).

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

162517872 is a wasteful number, since it uses less digits than its factorization.

162517872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9976 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 162517872 is about 12748.2497622223. The cubic root of 162517872 is about 545.7164463086.

The spelling of 162517872 in words is "one hundred sixty-two million, five hundred seventeen thousand, eight hundred seventy-two".