161725200 has 240 divisors, whose sum is σ = 638042496. Its totient is φ = 34099200.

The previous prime is 161725183. The next prime is 161725211. The reversal of 161725200 is 2527161.

161725200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108460 + ... + 109940.

Almost surely, 2^161725200 is an apocalyptic number.

161725200 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 161725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319021248).

161725200 is an abundant number, since it is smaller than the sum of its proper divisors (476317296).

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

161725200 is a wasteful number, since it uses less digits than its factorization.

161725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 161725200 is about 12717.1223159959. The cubic root of 161725200 is about 544.8277659047.

The spelling of 161725200 in words is "one hundred sixty-one million, seven hundred twenty-five thousand, two hundred".