392196672 has 168 divisors, whose sum is σ = 1293644352. Its totient is φ = 111283200.

The previous prime is 392196619. The next prime is 392196677. The reversal of 392196672 is 276691293.

It is a happy number.

392196672 is a `hidden beast` number, since 392 + 196 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (392196677) 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 23 ways as a sum of consecutive naturals, for example, 850522 + ... + 850982.

It is an arithmetic number, because the mean of its divisors is an integer number (7700264).

Almost surely, 2^392196672 is an apocalyptic number.

392196672 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 392196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646822176).

392196672 is an abundant number, since it is smaller than the sum of its proper divisors (901447680).

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

392196672 is a wasteful number, since it uses less digits than its factorization.

392196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 392196672 is about 19803.9559684423. The cubic root of 392196672 is about 731.9835166045.

The spelling of 392196672 in words is "three hundred ninety-two million, one hundred ninety-six thousand, six hundred seventy-two".