161567200 has 72 divisors (see below), whose sum is σ = 402911712. Its totient is φ = 63237120.

The previous prime is 161567191. The next prime is 161567213. The reversal of 161567200 is 2765161.

It is a super-3 number, since 3×161567200³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 35452 + ... + 39748.

It is an arithmetic number, because the mean of its divisors is an integer number (5595996).

Almost surely, 2^161567200 is an apocalyptic number.

161567200 is a gapful number since it is divisible by the number (10) 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 161567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201455856).

161567200 is an abundant number, since it is smaller than the sum of its proper divisors (241344512).

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

161567200 is a wasteful number, since it uses less digits than its factorization.

161567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 161567200 is about 12710.9087007971. The cubic root of 161567200 is about 544.6502820503.

The spelling of 161567200 in words is "one hundred sixty-one million, five hundred sixty-seven thousand, two hundred".