165724400 has 30 divisors (see below), whose sum is σ = 398153832. Its totient is φ = 66289600.

The previous prime is 165724399. The next prime is 165724409. The reversal of 165724400 is 4427561.

165724400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165724409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 206756 + ... + 207555.

Almost surely, 2^165724400 is an apocalyptic number.

165724400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165724400 is an abundant number, since it is smaller than the sum of its proper divisors (232429432).

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

165724400 is a wasteful number, since it uses less digits than its factorization.

165724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414329 (or 414318 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 165724400 is about 12873.3989295757. The cubic root of 165724400 is about 549.2821488794.

The spelling of 165724400 in words is "one hundred sixty-five million, seven hundred twenty-four thousand, four hundred".