162732416 has 192 divisors, whose sum is σ = 434112000. Its totient is φ = 59304960.

The previous prime is 162732391. The next prime is 162732421. The reversal of 162732416 is 614237261.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 2059865 + ... + 2059943.

It is an arithmetic number, because the mean of its divisors is an integer number (2261000).

Almost surely, 2^162732416 is an apocalyptic number.

162732416 is a gapful number since it is divisible by the number (16) 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 162732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217056000).

162732416 is an abundant number, since it is smaller than the sum of its proper divisors (271379584).

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

162732416 is a wasteful number, since it uses less digits than its factorization.

162732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 162732416 is about 12756.6616322610. The cubic root of 162732416 is about 545.9564787952.

Adding to 162732416 its reverse (614237261), we get a palindrome (776969677).

It can be divided in two parts, 1627 and 32416, that added together give a palindrome (34043).

The spelling of 162732416 in words is "one hundred sixty-two million, seven hundred thirty-two thousand, four hundred sixteen".