39768192 has 128 divisors (see below), whose sum is σ = 120931200. Its totient is φ = 12856320.

The previous prime is 39768191. The next prime is 39768217. The reversal of 39768192 is 29186793.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (39768191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127717 + ... + 128027.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 2^39768192 is an apocalyptic number.

39768192 is a gapful number since it is divisible by the number (32) 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 39768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60465600).

39768192 is an abundant number, since it is smaller than the sum of its proper divisors (81163008).

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

39768192 is a wasteful number, since it uses less digits than its factorization.

39768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 39768192 is about 6306.2026608729. The cubic root of 39768192 is about 341.3332655165. Note that the first 3 decimals are identical.

The spelling of 39768192 in words is "thirty-nine million, seven hundred sixty-eight thousand, one hundred ninety-two".