193399872 has 56 divisors (see below), whose sum is σ = 514112256. Its totient is φ = 64163328.

The previous prime is 193399831. The next prime is 193399903. The reversal of 193399872 is 278993391.

It is a happy number.

193399872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40558 + ... + 45074.

It is an arithmetic number, because the mean of its divisors is an integer number (9180576).

Almost surely, 2^193399872 is an apocalyptic number.

193399872 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 193399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257056128).

193399872 is an abundant number, since it is smaller than the sum of its proper divisors (320712384).

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

193399872 is a wasteful number, since it uses less digits than its factorization.

193399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4745 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 193399872 is about 13906.8282508989. The cubic root of 193399872 is about 578.2984932702.

It can be divided in two parts, 193 and 399872, that added together give a triangular number (400065 = T₈₉₄).

The spelling of 193399872 in words is "one hundred ninety-three million, three hundred ninety-nine thousand, eight hundred seventy-two".