194712672 has 288 divisors, whose sum is σ = 670166784. Its totient is φ = 48921600.

The previous prime is 194712631. The next prime is 194712677. The reversal of 194712672 is 276217491.

Its product of digits (42336) is a multiple of the sum of its prime divisors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 194712672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194712677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2742397 + ... + 2742467.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2^194712672 is an apocalyptic number.

194712672 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 194712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335083392).

194712672 is an abundant number, since it is smaller than the sum of its proper divisors (475454112).

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

194712672 is a wasteful number, since it uses less digits than its factorization.

194712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 194712672 is about 13953.9482584679. The cubic root of 194712672 is about 579.6040420731.

The spelling of 194712672 in words is "one hundred ninety-four million, seven hundred twelve thousand, six hundred seventy-two".